Find the Greatest Common Factor GCF in two seconds! - By tecmath
Transcript
| 00:00 | Good day and welcome to the Tech Math channel . | |
| 00:02 | What we're going to be having looked at in today's | |
| 00:04 | video is a way of working out the greatest common | |
| 00:07 | factor . A really fast way of doing it for | |
| 00:10 | two numbers . You could use it for more numbers | |
| 00:11 | . We'll go for two numbers for this video . | |
| 00:13 | Okay . So , so the two numbers we're looking | |
| 00:16 | at , we're 60 and 72 . The way that | |
| 00:20 | we do this really , really quickly , really fast | |
| 00:23 | as follows First off , you look at two numbers | |
| 00:27 | are going to these . Okay . So you might | |
| 00:29 | look and go , hey , two goes into this | |
| 00:30 | . So I'm just gonna put two here And I'm | |
| 00:32 | going to see how many times the two goes into | |
| 00:35 | these numbers . Okay . So two goes into 6030 | |
| 00:38 | times and it goes into 70-36 times . Okay . | |
| 00:44 | Next thing we do is we say . Okay , | |
| 00:46 | so is there any number that goes into both of | |
| 00:47 | these ? Oh yeah , two does once again . | |
| 00:50 | So he goes into this 1 15 times and it | |
| 00:54 | goes into this 1 18 times . Okay . Is | |
| 00:57 | there any number that goes into both of these ? | |
| 01:00 | All right , three days three goes into this one | |
| 01:05 | five times and it goes into this 16 times . | |
| 01:08 | Now , is there any number that goes in both | |
| 01:10 | of these ? You can say ? Yeah , one | |
| 01:11 | does . But one won't reduce the number anymore . | |
| 01:14 | So we've hit this stage where these we have a | |
| 01:16 | couple of our numbers here where they can't be reduced | |
| 01:20 | any more . So , we look at these three | |
| 01:22 | numbers , the two the two and three , and | |
| 01:26 | we multiply those together to get that greatest common factor | |
| 01:30 | two times two is four times three . Our greatest | |
| 01:33 | common factor is 12 . Pretty easy . Right , | |
| 01:38 | Okay , let's have a look at another one of | |
| 01:42 | these . Okay , so say we want to work | |
| 01:44 | out the greatest common factor . Uh Let's have a | |
| 01:46 | look at What ? 72 And 108 . Okay . | |
| 01:56 | You might even give this a go . So you | |
| 02:00 | can look at these straight away and you could possibly | |
| 02:02 | recognize that nine goes into both of these . Okay | |
| 02:05 | , so you could be like , okay , nine | |
| 02:07 | goes into this one . Okay . 9 8-72 and | |
| 02:12 | 12 times nine Is 100 night . Okay , so | |
| 02:17 | let's hear . First number , we've got the next | |
| 02:20 | ones . Is there any number that goes into both | |
| 02:21 | of these ? Yeah . Okay . Four does four | |
| 02:23 | goes in to this one Two times and it goes | |
| 02:27 | into this 1 3 times . And is there any | |
| 02:30 | numbers that go into both of these ? Hey , | |
| 02:32 | there's not . So we multiply these two numbers through | |
| 02:36 | nine times four highest Highest common factor is 36 . | |
| 02:42 | Anyway , don't you think of that video ? I | |
| 02:44 | hope you like it . It's a fairly quick and | |
| 02:46 | easy way of doing this without getting into messy factor | |
| 02:48 | trees . I always find myself running into and getting | |
| 02:51 | squashed up if I use these , so I find | |
| 02:52 | this a lot . Need an easier method of doing | |
| 02:55 | this anyway . Thank you for watching . We'll see | |
| 02:57 | you next time . Bye . |
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