Greatest Common Factor of 244/32, 720/43, 924/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 244/32, 720/43, 924/694

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 244/32,720/43,924/694

Given fractions are 244/32,720/43,924/694

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 244,720,924

Greatest Common Factor of Numerators i.e. GCF of 244,720,924 is 4 .

LCM of Denominators means LCM of 32,43,694 as per the given fractions.

LCM of 32,43,694 is 477472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 244,720,924

GCF of Fractions 244/32,720/43,924/694 is 4/477472

2 244, 720, 924
2 122, 360, 462
61, 180, 231

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 244,720,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,720,924 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

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

Greatest Common Factor

We found the factors 244,720,924 . The biggest common factor number is the GCF number.
So the greatest common factor 244,720,924 is 4.

Lets's calculate LCM of 32,43,694

2 32, 43, 694
16, 43, 347

∴ So the LCM of the given numbers is 2 x 16 x 43 x 347 = 477472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/477472

Therefore, the GCF of Fractions 244/32,720/43,924/694 is 4/477472

Least Common Multiple of 32,43,694 with GCF Formula

Least Common Multiple of 32,43,694 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 32,43,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,43,694) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,43,694) x common factors =1 x 2 = 2

LCM(32,43,694) = ( 32 × 43 × 694 ) / 2

LCM(32,43,694) = 954944 / 2

LCM(32,43,694) = 477472


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 244/32, 720/43, 924/694

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 244/32, 720/43, 924/694?

Answer: GCF of Numerators as per given numbers 244/32, 720/43, 924/694 is

GCF of Numerators i.e. for 244,720,924 is 4

LCM of denominators i.e. for 32,43,694 is 477472.

Thus, GCF of Fractions is 4/477472.Finally, GCF of Fractions for 244/32, 720/43, 924/694 is 4/477472.