Greatest Common Factor of 924/45, 5538/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/45, 5538/271

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 924/45,5538/271

Given fractions are 924/45,5538/271

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 924,5538

Greatest Common Factor of Numerators i.e. GCF of 924,5538 is 6 .

LCM of Denominators means LCM of 45,271 as per the given fractions.

LCM of 45,271 is 12195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,5538

GCF of Fractions 924/45,5538/271 is 6/12195

2 924, 5538
3 462, 2769
154, 923

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 924,5538 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,5538 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538

Greatest Common Factor

We found the factors 924,5538 . The biggest common factor number is the GCF number.
So the greatest common factor 924,5538 is 6.

Lets's calculate LCM of 45,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 12195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/12195

Therefore, the GCF of Fractions 924/45,5538/271 is 6/12195

Least Common Multiple of 45,271 with GCF Formula

Least Common Multiple of 45,271 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 45,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,271) = 1

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

GCF(45,271) x common factors =1 x 1 = 1

LCM(45,271) = ( 45 × 271 ) / 1

LCM(45,271) = 12195 / 1

LCM(45,271) = 12195


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 924/45, 5538/271

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 924/45, 5538/271?

Answer: GCF of Numerators as per given numbers 924/45, 5538/271 is

GCF of Numerators i.e. for 924,5538 is 6

LCM of denominators i.e. for 45,271 is 12195.

Thus, GCF of Fractions is 6/12195.Finally, GCF of Fractions for 924/45, 5538/271 is 6/12195.