Greatest Common Factor of 954/7893, 633/9269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/7893, 633/9269

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 954/7893,633/9269

Given fractions are 954/7893,633/9269

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 954,633

Greatest Common Factor of Numerators i.e. GCF of 954,633 is 3 .

LCM of Denominators means LCM of 7893,9269 as per the given fractions.

LCM of 7893,9269 is 73160217 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,633

GCF of Fractions 954/7893,633/9269 is 3/73160217

3 954, 633
318, 211

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 954,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,633 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 954,633 . The biggest common factor number is the GCF number.
So the greatest common factor 954,633 is 3.

Lets's calculate LCM of 7893,9269

Given numbers has no common factors except 1. So, there LCM is their product i.e 73160217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73160217

Therefore, the GCF of Fractions 954/7893,633/9269 is 3/73160217

Least Common Multiple of 7893,9269 with GCF Formula

Least Common Multiple of 7893,9269 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 7893,9269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7893,9269) = 1

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

GCF(7893,9269) x common factors =1 x 1 = 1

LCM(7893,9269) = ( 7893 × 9269 ) / 1

LCM(7893,9269) = 73160217 / 1

LCM(7893,9269) = 73160217


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 954/7893, 633/9269

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 954/7893, 633/9269?

Answer: GCF of Numerators as per given numbers 954/7893, 633/9269 is

GCF of Numerators i.e. for 954,633 is 3

LCM of denominators i.e. for 7893,9269 is 73160217.

Thus, GCF of Fractions is 3/73160217.Finally, GCF of Fractions for 954/7893, 633/9269 is 3/73160217.