Greatest Common Factor of 995/262, 9572/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 995/262, 9572/938

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 995/262,9572/938

Given fractions are 995/262,9572/938

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 995,9572

Greatest Common Factor of Numerators i.e. GCF of 995,9572 is 1 .

LCM of Denominators means LCM of 262,938 as per the given fractions.

LCM of 262,938 is 122878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 995,9572

GCF of Fractions 995/262,9572/938 is 1/122878

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 995,9572 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,9572 By Matching Biggest Common Factor Method

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 9572

List of positive integer factors of 9572 that divides 9572 without a remainder.

1,2,4,2393,4786,9572

Greatest Common Factor

We found the factors 995,9572 . The biggest common factor number is the GCF number.
So the greatest common factor 995,9572 is 1.

Lets's calculate LCM of 262,938

2 262, 938
131, 469

∴ So the LCM of the given numbers is 2 x 131 x 469 = 122878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122878

Therefore, the GCF of Fractions 995/262,9572/938 is 1/122878

Least Common Multiple of 262,938 with GCF Formula

Least Common Multiple of 262,938 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 262,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,938) = 2

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

GCF(262,938) x common factors =2 x 1 = 2

LCM(262,938) = ( 262 × 938 ) / 2

LCM(262,938) = 245756 / 2

LCM(262,938) = 122878


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 995/262, 9572/938

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 995/262, 9572/938?

Answer: GCF of Numerators as per given numbers 995/262, 9572/938 is

GCF of Numerators i.e. for 995,9572 is 1

LCM of denominators i.e. for 262,938 is 122878.

Thus, GCF of Fractions is 1/122878.Finally, GCF of Fractions for 995/262, 9572/938 is 1/122878.