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Why does dividing the product by the GCF always give you the LCM?
Wiki User
∙ 8y ago
In number theory, the product of two positive integers will equal the product of their GCF and LCM. Dividing that product by one of them will give you the other.
Wiki User
∙ 8y ago
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How Have You Used GCF When Working With Fractions?
Finding the GCF of the numerator and denominator and dividing them both by it will give you the simplest form of the fraction.
What is the LCM of two numbers if their GCF is 5 and their product is 1296?
As a general principle, you can find the LCM of two numbers by dividing their product by their GCF. This one won't work. The product of any two numbers with 5 as a common factor would have to end in 5 or 0.
How do you use a gcf?
i use a GCF to simplify a fraction by dividing it into both the numerator and the denominator.
How do you make up a problem to find the lcm of two numbers of one to find gcf of two numbers?
You can find the GCF of two numbers by dividing their product by their LCM. The LCM of 30 and 42 is 210. What is their GCF? 30 x 42 = 1260 divided by 210 = 6 The GCF of 30 and 42 is 6.
Which product is the gcf of 30 and 32?
The GCF is 2.
How Have You Used GCF When Working With Fractions?
Finding the GCF of the numerator and denominator and dividing them both by it will give you the simplest form of the fraction.
Why does the product of two fractions has the same value before and after dividing the numerator and denominator by the greatest common factor?
If you are dividing the numerator and the denominator by the same number (the GCF), it is the same as dividing the fraction by 1, which will leave it unchanged and create the same product.
What is the LCM of two numbers if their GCF is 5 and their product is 1296?
As a general principle, you can find the LCM of two numbers by dividing their product by their GCF. This one won't work. The product of any two numbers with 5 as a common factor would have to end in 5 or 0.
What is the product of the GCF and LCM of 4 and 6?
2 x 12 = 24, but there's an easier way if you remember that the product of the GCF and LCM of a pair of numbers will always be equal to the product of the two numbers.
What is the least common multiple of 49 and 63?
The LCM of 49 and 63 is 441. You can find the LCM of a set of numbers by finding their product, and dividing it by their GCF. The product of 49 and 63 is 3087. The GCF of 49 and 63 is 7. (49 = 7*7 and 63 = 7*9, so their GCF is 7.) 3087 / 7 = 441.
How do you use a gcf?
i use a GCF to simplify a fraction by dividing it into both the numerator and the denominator.
How do you make up a problem to find the lcm of two numbers of one to find gcf of two numbers?
You can find the GCF of two numbers by dividing their product by their LCM. The LCM of 30 and 42 is 210. What is their GCF? 30 x 42 = 1260 divided by 210 = 6 The GCF of 30 and 42 is 6.
What is the LCM of 2 number that have on GCF then 1 give an example?
The LCM is their product. The GCF of 4 and 9 is 1. The LCM of 4 and 9 is 36.
What is the product of the GCF and LCM of two numbers?
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
How do you compare the product of the LCM and GCF of two numbers with the product of the two numbers?
You can compare them by looking at them (they are the same)subtracting one from the other (answer = 0)dividing one by the other (the quotient is 1).
What two numbers have a gcf of 7 and LCM of 28?
We know the gcf x LCM= AB where A and B are the two numbers. So the product of the two number we seek is 196 7 and 28 have a product of 196 and the gcf of 7 and 28 is 7. The LCM of 28 and 7 is 28. So the two numbers are 7 and 28. ( I started out by dividing 196 by 7 to get the 28)
Which product is the gcf of 30 and 32?
The GCF is 2.
