Greatest Common Factor of 948/929, 8412/9881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 948/929, 8412/9881

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 948/929,8412/9881

Given fractions are 948/929,8412/9881

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 948,8412

Greatest Common Factor of Numerators i.e. GCF of 948,8412 is 12 .

LCM of Denominators means LCM of 929,9881 as per the given fractions.

LCM of 929,9881 is 9179449 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 948,8412

GCF of Fractions 948/929,8412/9881 is 12/9179449

2 948, 8412
2 474, 4206
3 237, 2103
79, 701

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 948,8412 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,8412 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1,2,3,4,6,12,701,1402,2103,2804,4206,8412

Greatest Common Factor

We found the factors 948,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 948,8412 is 12.

Lets's calculate LCM of 929,9881

Given numbers has no common factors except 1. So, there LCM is their product i.e 9179449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/9179449

Therefore, the GCF of Fractions 948/929,8412/9881 is 12/9179449

Least Common Multiple of 929,9881 with GCF Formula

Least Common Multiple of 929,9881 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 929,9881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,9881) = 1

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

GCF(929,9881) x common factors =1 x 1 = 1

LCM(929,9881) = ( 929 × 9881 ) / 1

LCM(929,9881) = 9179449 / 1

LCM(929,9881) = 9179449


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 948/929, 8412/9881

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 948/929, 8412/9881?

Answer: GCF of Numerators as per given numbers 948/929, 8412/9881 is

GCF of Numerators i.e. for 948,8412 is 12

LCM of denominators i.e. for 929,9881 is 9179449.

Thus, GCF of Fractions is 12/9179449.Finally, GCF of Fractions for 948/929, 8412/9881 is 12/9179449.