Greatest Common Factor of 9014/859, 7732/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9014/859, 7732/971

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 9014/859,7732/971

Given fractions are 9014/859,7732/971

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 9014,7732

Greatest Common Factor of Numerators i.e. GCF of 9014,7732 is 2 .

LCM of Denominators means LCM of 859,971 as per the given fractions.

LCM of 859,971 is 834089 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9014,7732

GCF of Fractions 9014/859,7732/971 is 2/834089

2 9014, 7732
4507, 3866

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

Greatest Common Factor of 9014,7732 By Matching Biggest Common Factor Method

Greatest Common Factor of 9014,7732 By Matching Biggest Common Factor Method

Factors of 9014

List of positive integer factors of 9014 that divides 9014 without a remainder.

1,2,4507,9014

Factors of 7732

List of positive integer factors of 7732 that divides 7732 without a remainder.

1,2,4,1933,3866,7732

Greatest Common Factor

We found the factors 9014,7732 . The biggest common factor number is the GCF number.
So the greatest common factor 9014,7732 is 2.

Lets's calculate LCM of 859,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 834089

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/834089

Therefore, the GCF of Fractions 9014/859,7732/971 is 2/834089

Least Common Multiple of 859,971 with GCF Formula

Least Common Multiple of 859,971 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 859,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,971) = 1

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

GCF(859,971) x common factors =1 x 1 = 1

LCM(859,971) = ( 859 × 971 ) / 1

LCM(859,971) = 834089 / 1

LCM(859,971) = 834089


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 9014/859, 7732/971

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 9014/859, 7732/971?

Answer: GCF of Numerators as per given numbers 9014/859, 7732/971 is

GCF of Numerators i.e. for 9014,7732 is 2

LCM of denominators i.e. for 859,971 is 834089.

Thus, GCF of Fractions is 2/834089.Finally, GCF of Fractions for 9014/859, 7732/971 is 2/834089.