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GCF of 2487/516, 9199/7516

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2487/516, 9199/7516 i.e 1/969564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2487/516, 9199/7516.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2487/516,9199/7516?

Given fractions are 2487/516,9199/7516

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2487/516,9199/7516, numerators are 2487,9199

Denominators are 516,7516

The GCF of 2487,9199 is 1 .

LCM of 516,7516 is 969564.

The greatest common factor of 2487/516,9199/7516 = [GCF of 2487,9199]/[LCM of 516,7516]= 1/969564

Therefore, the GCF of 2487/516,9199/7516 is 1/969564.

Greatest Common Factor of 2487,9199

To find the highest common factor of 2487,9199, we have to find the factors of both numbers and list the highest common factor.

The factors of 2487 are 1, 3, 829, 2487

The factors of 9199 are 1, 9199

The HCF of 2487,9199 is 1.

Lets's calculate GCF of 2487,9199

Greatest Common Factor (GCF) of 2487,9199 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2487,9199 By Matching Biggest Common Factor Method

Greatest Common Factor of 2487,9199 By Matching Biggest Common Factor Method

Now, list down the factors of 2487

:

1,3,829,2487

Now, list down the factors of 9199

:

1,9199

Greatest Common Factor

We found the factors 2487,9199 . The biggest common factor number is the GCF number.
So the greatest common factor 2487,9199 is 1.

Lets's calculate LCM of 516,7516

Lowest Common Multiple of 516,7516 using Common Division

2 516, 7516
2 258, 3758
129, 1879

∴ So the LCM of the given numbers is 2 x 2 x 129 x 1879 = 969564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/969564

Therefore, the GCF of Fractions 2487/516,9199/7516 is 1/969564

Least Common Multiple of 516,7516 with GCF Formula

Least Common Multiple of 516,7516 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 516,7516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,7516) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(516,7516) x common factors =4 x 1 = 4

LCM(516,7516) = ( 516 × 7516 ) / 4

LCM(516,7516) = 3878256 / 4

LCM(516,7516) = 969564


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FAQs on GCF of Fractions of 2487/516, 9199/7516

1. What is the HCF of 2487,9199?

The HCF of 2487,9199 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2487/516, 9199/7516?

Answer: GCF of Numerators as per given numbers 2487/516, 9199/7516 is

GCF of Numerators i.e. for 2487,9199 is 1

LCM of denominators i.e. for 516,7516 is 969564.

Thus, GCF of Fractions is 1/969564.Finally, GCF of Fractions for 2487/516, 9199/7516 is 1/969564.