Greatest Common Factor of 5301/88, 7812/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5301/88, 7812/708

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 5301/88,7812/708

Given fractions are 5301/88,7812/708

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 5301,7812

Greatest Common Factor of Numerators i.e. GCF of 5301,7812 is 279 .

LCM of Denominators means LCM of 88,708 as per the given fractions.

LCM of 88,708 is 15576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5301,7812

GCF of Fractions 5301/88,7812/708 is 279/15576

3 5301, 7812
3 1767, 2604
31 589, 868
19, 28

∴ So the GCF of the given numbers is 3 x 3 x 31 = 279

Greatest Common Factor of 5301,7812 By Matching Biggest Common Factor Method

Greatest Common Factor of 5301,7812 By Matching Biggest Common Factor Method

Factors of 5301

List of positive integer factors of 5301 that divides 5301 without a remainder.

1,3,9,19,31,57,93,171,279,589,1767,5301

Factors of 7812

List of positive integer factors of 7812 that divides 7812 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812

Greatest Common Factor

We found the factors 5301,7812 . The biggest common factor number is the GCF number.
So the greatest common factor 5301,7812 is 279.

Lets's calculate LCM of 88,708

2 88, 708
2 44, 354
22, 177

∴ So the LCM of the given numbers is 2 x 2 x 22 x 177 = 15576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 279/15576

Therefore, the GCF of Fractions 5301/88,7812/708 is 279/15576

Least Common Multiple of 88,708 with GCF Formula

Least Common Multiple of 88,708 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 88,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,708) = 4

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

GCF(88,708) x common factors =4 x 1 = 4

LCM(88,708) = ( 88 × 708 ) / 4

LCM(88,708) = 62304 / 4

LCM(88,708) = 15576


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5301/88, 7812/708

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 5301/88, 7812/708?

Answer: GCF of Numerators as per given numbers 5301/88, 7812/708 is

GCF of Numerators i.e. for 5301,7812 is 279

LCM of denominators i.e. for 88,708 is 15576.

Thus, GCF of Fractions is 279/15576.Finally, GCF of Fractions for 5301/88, 7812/708 is 279/15576.