Greatest Common Factor of 4632/32, 7256/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4632/32, 7256/783

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 4632/32,7256/783

Given fractions are 4632/32,7256/783

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 4632,7256

Greatest Common Factor of Numerators i.e. GCF of 4632,7256 is 8 .

LCM of Denominators means LCM of 32,783 as per the given fractions.

LCM of 32,783 is 25056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4632,7256

GCF of Fractions 4632/32,7256/783 is 8/25056

2 4632, 7256
2 2316, 3628
2 1158, 1814
579, 907

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4632,7256 By Matching Biggest Common Factor Method

Greatest Common Factor of 4632,7256 By Matching Biggest Common Factor Method

Factors of 4632

List of positive integer factors of 4632 that divides 4632 without a remainder.

1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632

Factors of 7256

List of positive integer factors of 7256 that divides 7256 without a remainder.

1,2,4,8,907,1814,3628,7256

Greatest Common Factor

We found the factors 4632,7256 . The biggest common factor number is the GCF number.
So the greatest common factor 4632,7256 is 8.

Lets's calculate LCM of 32,783

Given numbers has no common factors except 1. So, there LCM is their product i.e 25056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/25056

Therefore, the GCF of Fractions 4632/32,7256/783 is 8/25056

Least Common Multiple of 32,783 with GCF Formula

Least Common Multiple of 32,783 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 32,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,783) = 1

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

GCF(32,783) x common factors =1 x 1 = 1

LCM(32,783) = ( 32 × 783 ) / 1

LCM(32,783) = 25056 / 1

LCM(32,783) = 25056


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 4632/32, 7256/783

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 4632/32, 7256/783?

Answer: GCF of Numerators as per given numbers 4632/32, 7256/783 is

GCF of Numerators i.e. for 4632,7256 is 8

LCM of denominators i.e. for 32,783 is 25056.

Thus, GCF of Fractions is 8/25056.Finally, GCF of Fractions for 4632/32, 7256/783 is 8/25056.