Greatest Common Factor of 8936/235, 7740/8632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8936/235, 7740/8632

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 8936/235,7740/8632

Given fractions are 8936/235,7740/8632

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 8936,7740

Greatest Common Factor of Numerators i.e. GCF of 8936,7740 is 4 .

LCM of Denominators means LCM of 235,8632 as per the given fractions.

LCM of 235,8632 is 2028520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8936,7740

GCF of Fractions 8936/235,7740/8632 is 4/2028520

2 8936, 7740
2 4468, 3870
2234, 1935

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

Greatest Common Factor of 8936,7740 By Matching Biggest Common Factor Method

Greatest Common Factor of 8936,7740 By Matching Biggest Common Factor Method

Factors of 8936

List of positive integer factors of 8936 that divides 8936 without a remainder.

1,2,4,8,1117,2234,4468,8936

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740

Greatest Common Factor

We found the factors 8936,7740 . The biggest common factor number is the GCF number.
So the greatest common factor 8936,7740 is 4.

Lets's calculate LCM of 235,8632

Given numbers has no common factors except 1. So, there LCM is their product i.e 2028520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2028520

Therefore, the GCF of Fractions 8936/235,7740/8632 is 4/2028520

Least Common Multiple of 235,8632 with GCF Formula

Least Common Multiple of 235,8632 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 235,8632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,8632) = 1

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

GCF(235,8632) x common factors =1 x 1 = 1

LCM(235,8632) = ( 235 × 8632 ) / 1

LCM(235,8632) = 2028520 / 1

LCM(235,8632) = 2028520


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 8936/235, 7740/8632

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 8936/235, 7740/8632?

Answer: GCF of Numerators as per given numbers 8936/235, 7740/8632 is

GCF of Numerators i.e. for 8936,7740 is 4

LCM of denominators i.e. for 235,8632 is 2028520.

Thus, GCF of Fractions is 4/2028520.Finally, GCF of Fractions for 8936/235, 7740/8632 is 4/2028520.