Greatest Common Factor of 97/926, 923/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/926, 923/110

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 97/926,923/110

Given fractions are 97/926,923/110

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 97,923

Greatest Common Factor of Numerators i.e. GCF of 97,923 is 1 .

LCM of Denominators means LCM of 926,110 as per the given fractions.

LCM of 926,110 is 50930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,923

GCF of Fractions 97/926,923/110 is 1/50930

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

Greatest Common Factor of 97,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,923 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 97,923 . The biggest common factor number is the GCF number.
So the greatest common factor 97,923 is 1.

Lets's calculate LCM of 926,110

2 926, 110
463, 55

∴ So the LCM of the given numbers is 2 x 463 x 55 = 50930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50930

Therefore, the GCF of Fractions 97/926,923/110 is 1/50930

Least Common Multiple of 926,110 with GCF Formula

Least Common Multiple of 926,110 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 926,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,110) = 2

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

GCF(926,110) x common factors =2 x 1 = 2

LCM(926,110) = ( 926 × 110 ) / 2

LCM(926,110) = 101860 / 2

LCM(926,110) = 50930


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 97/926, 923/110

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 97/926, 923/110?

Answer: GCF of Numerators as per given numbers 97/926, 923/110 is

GCF of Numerators i.e. for 97,923 is 1

LCM of denominators i.e. for 926,110 is 50930.

Thus, GCF of Fractions is 1/50930.Finally, GCF of Fractions for 97/926, 923/110 is 1/50930.