Greatest Common Factor of 3069/96, 7781/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3069/96, 7781/959

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 3069/96,7781/959

Given fractions are 3069/96,7781/959

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 3069,7781

Greatest Common Factor of Numerators i.e. GCF of 3069,7781 is 31 .

LCM of Denominators means LCM of 96,959 as per the given fractions.

LCM of 96,959 is 92064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3069,7781

GCF of Fractions 3069/96,7781/959 is 31/92064

31 3069, 7781
99, 251

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 3069,7781 By Matching Biggest Common Factor Method

Greatest Common Factor of 3069,7781 By Matching Biggest Common Factor Method

Factors of 3069

List of positive integer factors of 3069 that divides 3069 without a remainder.

1,3,9,11,31,33,93,99,279,341,1023,3069

Factors of 7781

List of positive integer factors of 7781 that divides 7781 without a remainder.

1,31,251,7781

Greatest Common Factor

We found the factors 3069,7781 . The biggest common factor number is the GCF number.
So the greatest common factor 3069,7781 is 31.

Lets's calculate LCM of 96,959

Given numbers has no common factors except 1. So, there LCM is their product i.e 92064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/92064

Therefore, the GCF of Fractions 3069/96,7781/959 is 31/92064

Least Common Multiple of 96,959 with GCF Formula

Least Common Multiple of 96,959 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 96,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,959) = 1

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

GCF(96,959) x common factors =1 x 1 = 1

LCM(96,959) = ( 96 × 959 ) / 1

LCM(96,959) = 92064 / 1

LCM(96,959) = 92064


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 3069/96, 7781/959

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 3069/96, 7781/959?

Answer: GCF of Numerators as per given numbers 3069/96, 7781/959 is

GCF of Numerators i.e. for 3069,7781 is 31

LCM of denominators i.e. for 96,959 is 92064.

Thus, GCF of Fractions is 31/92064.Finally, GCF of Fractions for 3069/96, 7781/959 is 31/92064.