Greatest Common Factor of 99/87, 780/57, 532/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 99/87, 780/57, 532/847

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 99/87,780/57,532/847

Given fractions are 99/87,780/57,532/847

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 99,780,532

Greatest Common Factor of Numerators i.e. GCF of 99,780,532 is 1 .

LCM of Denominators means LCM of 87,57,847 as per the given fractions.

LCM of 87,57,847 is 1400091 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,780,532

GCF of Fractions 99/87,780/57,532/847 is 1/1400091

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

Greatest Common Factor of 99,780,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,780,532 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 99,780,532 . The biggest common factor number is the GCF number.
So the greatest common factor 99,780,532 is 1.


Lets's calculate LCM of 87,57,847

3 87, 57, 847
29, 19, 847

∴ So the LCM of the given numbers is 3 x 29 x 19 x 847 = 1400091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1400091

Therefore, the GCF of Fractions 99/87,780/57,532/847 is 1/1400091

Least Common Multiple of 87,57,847 with GCF Formula

Least Common Multiple of 87,57,847 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 87,57,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,57,847) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,57,847) x common factors =1 x 3 = 3

LCM(87,57,847) = ( 87 × 57 × 847 ) / 3

LCM(87,57,847) = 4200273 / 3

LCM(87,57,847) = 1400091


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 99/87, 780/57, 532/847

1. 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.

2. What is the GCF of Fractions for 99/87, 780/57, 532/847?

Answer: GCF of Numerators as per given numbers 99/87, 780/57, 532/847 is

GCF of Numerators i.e. for 99,780,532 is 1

LCM of denominators i.e. for 87,57,847 is 1400091.

Thus, GCF of Fractions is 1/1400091.Finally, GCF of Fractions for 99/87, 780/57, 532/847 is 1/1400091.