Greatest Common Factor of 7734/862, 7072/4589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7734/862, 7072/4589

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 7734/862,7072/4589

Given fractions are 7734/862,7072/4589

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 7734,7072

Greatest Common Factor of Numerators i.e. GCF of 7734,7072 is 2 .

LCM of Denominators means LCM of 862,4589 as per the given fractions.

LCM of 862,4589 is 3955718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7734,7072

GCF of Fractions 7734/862,7072/4589 is 2/3955718

2 7734, 7072
3867, 3536

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

Greatest Common Factor of 7734,7072 By Matching Biggest Common Factor Method

Greatest Common Factor of 7734,7072 By Matching Biggest Common Factor Method

Factors of 7734

List of positive integer factors of 7734 that divides 7734 without a remainder.

1,2,3,6,1289,2578,3867,7734

Factors of 7072

List of positive integer factors of 7072 that divides 7072 without a remainder.

1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072

Greatest Common Factor

We found the factors 7734,7072 . The biggest common factor number is the GCF number.
So the greatest common factor 7734,7072 is 2.

Lets's calculate LCM of 862,4589

Given numbers has no common factors except 1. So, there LCM is their product i.e 3955718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3955718

Therefore, the GCF of Fractions 7734/862,7072/4589 is 2/3955718

Least Common Multiple of 862,4589 with GCF Formula

Least Common Multiple of 862,4589 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 862,4589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,4589) = 1

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

GCF(862,4589) x common factors =1 x 1 = 1

LCM(862,4589) = ( 862 × 4589 ) / 1

LCM(862,4589) = 3955718 / 1

LCM(862,4589) = 3955718


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 7734/862, 7072/4589

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 7734/862, 7072/4589?

Answer: GCF of Numerators as per given numbers 7734/862, 7072/4589 is

GCF of Numerators i.e. for 7734,7072 is 2

LCM of denominators i.e. for 862,4589 is 3955718.

Thus, GCF of Fractions is 2/3955718.Finally, GCF of Fractions for 7734/862, 7072/4589 is 2/3955718.