Greatest Common Factor of 924/396, 560/444, 672/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/396, 560/444, 672/548

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 924/396,560/444,672/548

Given fractions are 924/396,560/444,672/548

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 924,560,672

Greatest Common Factor of Numerators i.e. GCF of 924,560,672 is 28 .

LCM of Denominators means LCM of 396,444,548 as per the given fractions.

LCM of 396,444,548 is 2007324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,560,672

GCF of Fractions 924/396,560/444,672/548 is 28/2007324

2 924, 560, 672
2 462, 280, 336
7 231, 140, 168
33, 20, 24

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 924,560,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,560,672 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 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 924,560,672 . The biggest common factor number is the GCF number.
So the greatest common factor 924,560,672 is 28.

Lets's calculate LCM of 396,444,548

2 396, 444, 548
2 198, 222, 274
3 99, 111, 137
33, 37, 137

∴ So the LCM of the given numbers is 2 x 2 x 3 x 33 x 37 x 137 = 2007324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/2007324

Therefore, the GCF of Fractions 924/396,560/444,672/548 is 28/2007324

Least Common Multiple of 396,444,548 with GCF Formula

Least Common Multiple of 396,444,548 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 396,444,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,444,548) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(396,444,548) x common factors =4 x 12 = 48

LCM(396,444,548) = ( 396 × 444 × 548 ) / 48

LCM(396,444,548) = 96351552 / 48

LCM(396,444,548) = 2007324


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 924/396, 560/444, 672/548

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 924/396, 560/444, 672/548?

Answer: GCF of Numerators as per given numbers 924/396, 560/444, 672/548 is

GCF of Numerators i.e. for 924,560,672 is 28

LCM of denominators i.e. for 396,444,548 is 2007324.

Thus, GCF of Fractions is 28/2007324.Finally, GCF of Fractions for 924/396, 560/444, 672/548 is 28/2007324.