Let's say you ran a plant that used special screws to hold a motor together. The screws come in packages of 8, and the motors come in packages of 10. You don't want a lot of extra screws around, because they are very expensive. So you wonder- at what point do the screws and motors match up in packages of 8 and 10? That way you can order them in even amounts. The answer is 40, because 5 x 8 and 4 x 10 both = 40.
They cannot because there is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.
One common application of greatest common factors is to simplify fractions. Note that you don't necessarily need the GREATEST common factor; you can simplify by dividing both numbers by any common factor, and then continue looking for additional factors.
Nobody "created" them, they're a fact of life, like gravity and sunshine.
Oh, dude, simplifying fractions? That's like trying to simplify my messy love life. So, 360 over 540, you just divide both numbers by their greatest common factor, which is 180. So, 360 divided by 180 is 2, and 540 divided by 180 is 3. Voilà, simplified to 2 over 3. Easy peasy, lemon squeezy!
Life's Greatest Game - 1924 was released on: USA: 28 September 1924
Yes.
You are in school. School is part of your life. You are using it in life.
One common application of greatest common factors is to simplify fractions. Note that you don't necessarily need the GREATEST common factor; you can simplify by dividing both numbers by any common factor, and then continue looking for additional factors.
When reducing fractions to their simplest form the greatest common factor of their numerator and denominator must be found.
you
Nobody "created" them, they're a fact of life, like gravity and sunshine.
The GCF of 3, 12, and 18 is 3
Oh, dude, the highest common factor of 368 and 621 is 23. But like, who even needs to know that in real life, right? Unless you're planning a wild party with prime numbers, then maybe it'll come in handy.
hunting and farming
Those are commonly used for working with fractions. You need the least common multiple to find a common denominator, for adding or subtracting fractions. And after doing some manipulations with fractions, you need the greatest common factor to simplify the fractions.Now, whether this is sufficiently "real-life" for you, is another issue. Depending on the career you choose, you many need to work with fractions on a daily basis, or you may hardly ever need them.
Well, honey, the greatest common factor of 64, 96, and 128 is 32. It's like finding the one friend who shows up to every party - dependable and always there when you need them. So, go ahead and thank good ol' 32 for being the life of the math party.
Finding a balance between exercise and daily life.
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