Greatest Common Factor of 113/52, 4746/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 113/52, 4746/965

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 113/52,4746/965

Given fractions are 113/52,4746/965

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 113,4746

Greatest Common Factor of Numerators i.e. GCF of 113,4746 is 113 .

LCM of Denominators means LCM of 52,965 as per the given fractions.

LCM of 52,965 is 50180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 113,4746

GCF of Fractions 113/52,4746/965 is 113/50180

113 113, 4746
1, 42

∴ So the GCF of the given numbers is 113 = 113

Greatest Common Factor of 113,4746 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,4746 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746

Greatest Common Factor

We found the factors 113,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 113,4746 is 113.

Lets's calculate LCM of 52,965

Given numbers has no common factors except 1. So, there LCM is their product i.e 50180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/50180

Therefore, the GCF of Fractions 113/52,4746/965 is 113/50180

Least Common Multiple of 52,965 with GCF Formula

Least Common Multiple of 52,965 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 52,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,965) = 1

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

GCF(52,965) x common factors =1 x 1 = 1

LCM(52,965) = ( 52 × 965 ) / 1

LCM(52,965) = 50180 / 1

LCM(52,965) = 50180


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 113/52, 4746/965

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 113/52, 4746/965?

Answer: GCF of Numerators as per given numbers 113/52, 4746/965 is

GCF of Numerators i.e. for 113,4746 is 113

LCM of denominators i.e. for 52,965 is 50180.

Thus, GCF of Fractions is 113/50180.Finally, GCF of Fractions for 113/52, 4746/965 is 113/50180.