Greatest Common Factor of 860/762, 8832/6117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/762, 8832/6117

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 860/762,8832/6117

Given fractions are 860/762,8832/6117

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 860,8832

Greatest Common Factor of Numerators i.e. GCF of 860,8832 is 4 .

LCM of Denominators means LCM of 762,6117 as per the given fractions.

LCM of 762,6117 is 1553718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,8832

GCF of Fractions 860/762,8832/6117 is 4/1553718

2 860, 8832
2 430, 4416
215, 2208

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 860,8832 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,8832 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 8832

List of positive integer factors of 8832 that divides 8832 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832

Greatest Common Factor

We found the factors 860,8832 . The biggest common factor number is the GCF number.
So the greatest common factor 860,8832 is 4.

Lets's calculate LCM of 762,6117

3 762, 6117
254, 2039

∴ So the LCM of the given numbers is 3 x 254 x 2039 = 1553718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1553718

Therefore, the GCF of Fractions 860/762,8832/6117 is 4/1553718

Least Common Multiple of 762,6117 with GCF Formula

Least Common Multiple of 762,6117 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 762,6117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,6117) = 3

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

GCF(762,6117) x common factors =3 x 1 = 3

LCM(762,6117) = ( 762 × 6117 ) / 3

LCM(762,6117) = 4661154 / 3

LCM(762,6117) = 1553718


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 860/762, 8832/6117

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 860/762, 8832/6117?

Answer: GCF of Numerators as per given numbers 860/762, 8832/6117 is

GCF of Numerators i.e. for 860,8832 is 4

LCM of denominators i.e. for 762,6117 is 1553718.

Thus, GCF of Fractions is 4/1553718.Finally, GCF of Fractions for 860/762, 8832/6117 is 4/1553718.