Greatest Common Factor of 924/49, 7436/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/49, 7436/279

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 924/49,7436/279

Given fractions are 924/49,7436/279

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 924,7436

Greatest Common Factor of Numerators i.e. GCF of 924,7436 is 44 .

LCM of Denominators means LCM of 49,279 as per the given fractions.

LCM of 49,279 is 13671 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,7436

GCF of Fractions 924/49,7436/279 is 44/13671

2 924, 7436
2 462, 3718
11 231, 1859
21, 169

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 924,7436 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,7436 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 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Greatest Common Factor

We found the factors 924,7436 . The biggest common factor number is the GCF number.
So the greatest common factor 924,7436 is 44.

Lets's calculate LCM of 49,279

Given numbers has no common factors except 1. So, there LCM is their product i.e 13671

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/13671

Therefore, the GCF of Fractions 924/49,7436/279 is 44/13671

Least Common Multiple of 49,279 with GCF Formula

Least Common Multiple of 49,279 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 49,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,279) = 1

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

GCF(49,279) x common factors =1 x 1 = 1

LCM(49,279) = ( 49 × 279 ) / 1

LCM(49,279) = 13671 / 1

LCM(49,279) = 13671


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 924/49, 7436/279

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 924/49, 7436/279?

Answer: GCF of Numerators as per given numbers 924/49, 7436/279 is

GCF of Numerators i.e. for 924,7436 is 44

LCM of denominators i.e. for 49,279 is 13671.

Thus, GCF of Fractions is 44/13671.Finally, GCF of Fractions for 924/49, 7436/279 is 44/13671.