Greatest Common Factor of 8812/139, 4696/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8812/139, 4696/185

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 8812/139,4696/185

Given fractions are 8812/139,4696/185

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 8812,4696

Greatest Common Factor of Numerators i.e. GCF of 8812,4696 is 4 .

LCM of Denominators means LCM of 139,185 as per the given fractions.

LCM of 139,185 is 25715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8812,4696

GCF of Fractions 8812/139,4696/185 is 4/25715

2 8812, 4696
2 4406, 2348
2203, 1174

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

Greatest Common Factor of 8812,4696 By Matching Biggest Common Factor Method

Greatest Common Factor of 8812,4696 By Matching Biggest Common Factor Method

Factors of 8812

List of positive integer factors of 8812 that divides 8812 without a remainder.

1,2,4,2203,4406,8812

Factors of 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1,2,4,8,587,1174,2348,4696

Greatest Common Factor

We found the factors 8812,4696 . The biggest common factor number is the GCF number.
So the greatest common factor 8812,4696 is 4.

Lets's calculate LCM of 139,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 25715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/25715

Therefore, the GCF of Fractions 8812/139,4696/185 is 4/25715

Least Common Multiple of 139,185 with GCF Formula

Least Common Multiple of 139,185 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 139,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,185) = 1

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

GCF(139,185) x common factors =1 x 1 = 1

LCM(139,185) = ( 139 × 185 ) / 1

LCM(139,185) = 25715 / 1

LCM(139,185) = 25715


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 8812/139, 4696/185

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 8812/139, 4696/185?

Answer: GCF of Numerators as per given numbers 8812/139, 4696/185 is

GCF of Numerators i.e. for 8812,4696 is 4

LCM of denominators i.e. for 139,185 is 25715.

Thus, GCF of Fractions is 4/25715.Finally, GCF of Fractions for 8812/139, 4696/185 is 4/25715.