Greatest Common Factor of 9425/53, 1027/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9425/53, 1027/119

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 9425/53,1027/119

Given fractions are 9425/53,1027/119

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 9425,1027

Greatest Common Factor of Numerators i.e. GCF of 9425,1027 is 13 .

LCM of Denominators means LCM of 53,119 as per the given fractions.

LCM of 53,119 is 6307 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9425,1027

GCF of Fractions 9425/53,1027/119 is 13/6307

13 9425, 1027
725, 79

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9425,1027 By Matching Biggest Common Factor Method

Greatest Common Factor of 9425,1027 By Matching Biggest Common Factor Method

Factors of 9425

List of positive integer factors of 9425 that divides 9425 without a remainder.

1,5,13,25,29,65,145,325,377,725,1885,9425

Factors of 1027

List of positive integer factors of 1027 that divides 1027 without a remainder.

1,13,79,1027

Greatest Common Factor

We found the factors 9425,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 9425,1027 is 13.

Lets's calculate LCM of 53,119

Given numbers has no common factors except 1. So, there LCM is their product i.e 6307

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6307

Therefore, the GCF of Fractions 9425/53,1027/119 is 13/6307

Least Common Multiple of 53,119 with GCF Formula

Least Common Multiple of 53,119 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 53,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,119) = 1

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

GCF(53,119) x common factors =1 x 1 = 1

LCM(53,119) = ( 53 × 119 ) / 1

LCM(53,119) = 6307 / 1

LCM(53,119) = 6307


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 9425/53, 1027/119

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 9425/53, 1027/119?

Answer: GCF of Numerators as per given numbers 9425/53, 1027/119 is

GCF of Numerators i.e. for 9425,1027 is 13

LCM of denominators i.e. for 53,119 is 6307.

Thus, GCF of Fractions is 13/6307.Finally, GCF of Fractions for 9425/53, 1027/119 is 13/6307.