Greatest Common Factor of 7967/948, 7692/9988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7967/948, 7692/9988

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 7967/948,7692/9988

Given fractions are 7967/948,7692/9988

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 7967,7692

Greatest Common Factor of Numerators i.e. GCF of 7967,7692 is 1 .

LCM of Denominators means LCM of 948,9988 as per the given fractions.

LCM of 948,9988 is 2367156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7967,7692

GCF of Fractions 7967/948,7692/9988 is 1/2367156

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

Greatest Common Factor of 7967,7692 By Matching Biggest Common Factor Method

Greatest Common Factor of 7967,7692 By Matching Biggest Common Factor Method

Factors of 7967

List of positive integer factors of 7967 that divides 7967 without a remainder.

1,31,257,7967

Factors of 7692

List of positive integer factors of 7692 that divides 7692 without a remainder.

1,2,3,4,6,12,641,1282,1923,2564,3846,7692

Greatest Common Factor

We found the factors 7967,7692 . The biggest common factor number is the GCF number.
So the greatest common factor 7967,7692 is 1.

Lets's calculate LCM of 948,9988

2 948, 9988
2 474, 4994
237, 2497

∴ So the LCM of the given numbers is 2 x 2 x 237 x 2497 = 2367156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2367156

Therefore, the GCF of Fractions 7967/948,7692/9988 is 1/2367156

Least Common Multiple of 948,9988 with GCF Formula

Least Common Multiple of 948,9988 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 948,9988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,9988) = 4

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

GCF(948,9988) x common factors =4 x 1 = 4

LCM(948,9988) = ( 948 × 9988 ) / 4

LCM(948,9988) = 9468624 / 4

LCM(948,9988) = 2367156


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 7967/948, 7692/9988

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 7967/948, 7692/9988?

Answer: GCF of Numerators as per given numbers 7967/948, 7692/9988 is

GCF of Numerators i.e. for 7967,7692 is 1

LCM of denominators i.e. for 948,9988 is 2367156.

Thus, GCF of Fractions is 1/2367156.Finally, GCF of Fractions for 7967/948, 7692/9988 is 1/2367156.