Greatest Common Factor of 224/456, 7584/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 224/456, 7584/925

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 224/456,7584/925

Given fractions are 224/456,7584/925

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 224,7584

Greatest Common Factor of Numerators i.e. GCF of 224,7584 is 32 .

LCM of Denominators means LCM of 456,925 as per the given fractions.

LCM of 456,925 is 421800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 224,7584

GCF of Fractions 224/456,7584/925 is 32/421800

2 224, 7584
2 112, 3792
2 56, 1896
2 28, 948
2 14, 474
7, 237

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 224,7584 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,7584 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584

Greatest Common Factor

We found the factors 224,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 224,7584 is 32.

Lets's calculate LCM of 456,925

Given numbers has no common factors except 1. So, there LCM is their product i.e 421800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/421800

Therefore, the GCF of Fractions 224/456,7584/925 is 32/421800

Least Common Multiple of 456,925 with GCF Formula

Least Common Multiple of 456,925 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 456,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,925) = 1

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

GCF(456,925) x common factors =1 x 1 = 1

LCM(456,925) = ( 456 × 925 ) / 1

LCM(456,925) = 421800 / 1

LCM(456,925) = 421800


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 224/456, 7584/925

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 224/456, 7584/925?

Answer: GCF of Numerators as per given numbers 224/456, 7584/925 is

GCF of Numerators i.e. for 224,7584 is 32

LCM of denominators i.e. for 456,925 is 421800.

Thus, GCF of Fractions is 32/421800.Finally, GCF of Fractions for 224/456, 7584/925 is 32/421800.