Greatest Common Factor of 8556/856, 7420/1117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8556/856, 7420/1117

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 8556/856,7420/1117

Given fractions are 8556/856,7420/1117

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 8556,7420

Greatest Common Factor of Numerators i.e. GCF of 8556,7420 is 4 .

LCM of Denominators means LCM of 856,1117 as per the given fractions.

LCM of 856,1117 is 956152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8556,7420

GCF of Fractions 8556/856,7420/1117 is 4/956152

2 8556, 7420
2 4278, 3710
2139, 1855

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

Greatest Common Factor of 8556,7420 By Matching Biggest Common Factor Method

Greatest Common Factor of 8556,7420 By Matching Biggest Common Factor Method

Factors of 8556

List of positive integer factors of 8556 that divides 8556 without a remainder.

1,2,3,4,6,12,23,31,46,62,69,92,93,124,138,186,276,372,713,1426,2139,2852,4278,8556

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Greatest Common Factor

We found the factors 8556,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 8556,7420 is 4.

Lets's calculate LCM of 856,1117

Given numbers has no common factors except 1. So, there LCM is their product i.e 956152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/956152

Therefore, the GCF of Fractions 8556/856,7420/1117 is 4/956152

Least Common Multiple of 856,1117 with GCF Formula

Least Common Multiple of 856,1117 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 856,1117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,1117) = 1

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

GCF(856,1117) x common factors =1 x 1 = 1

LCM(856,1117) = ( 856 × 1117 ) / 1

LCM(856,1117) = 956152 / 1

LCM(856,1117) = 956152


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 8556/856, 7420/1117

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 8556/856, 7420/1117?

Answer: GCF of Numerators as per given numbers 8556/856, 7420/1117 is

GCF of Numerators i.e. for 8556,7420 is 4

LCM of denominators i.e. for 856,1117 is 956152.

Thus, GCF of Fractions is 4/956152.Finally, GCF of Fractions for 8556/856, 7420/1117 is 4/956152.