Greatest Common Factor of 1116/451, 4588/8345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1116/451, 4588/8345

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 1116/451,4588/8345

Given fractions are 1116/451,4588/8345

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 1116,4588

Greatest Common Factor of Numerators i.e. GCF of 1116,4588 is 124 .

LCM of Denominators means LCM of 451,8345 as per the given fractions.

LCM of 451,8345 is 3763595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1116,4588

GCF of Fractions 1116/451,4588/8345 is 124/3763595

2 1116, 4588
2 558, 2294
31 279, 1147
9, 37

∴ So the GCF of the given numbers is 2 x 2 x 31 = 124

Greatest Common Factor of 1116,4588 By Matching Biggest Common Factor Method

Greatest Common Factor of 1116,4588 By Matching Biggest Common Factor Method

Factors of 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116

Factors of 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1,2,4,31,37,62,74,124,148,1147,2294,4588

Greatest Common Factor

We found the factors 1116,4588 . The biggest common factor number is the GCF number.
So the greatest common factor 1116,4588 is 124.

Lets's calculate LCM of 451,8345

Given numbers has no common factors except 1. So, there LCM is their product i.e 3763595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 124/3763595

Therefore, the GCF of Fractions 1116/451,4588/8345 is 124/3763595

Least Common Multiple of 451,8345 with GCF Formula

Least Common Multiple of 451,8345 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 451,8345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,8345) = 1

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

GCF(451,8345) x common factors =1 x 1 = 1

LCM(451,8345) = ( 451 × 8345 ) / 1

LCM(451,8345) = 3763595 / 1

LCM(451,8345) = 3763595


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 1116/451, 4588/8345

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 1116/451, 4588/8345?

Answer: GCF of Numerators as per given numbers 1116/451, 4588/8345 is

GCF of Numerators i.e. for 1116,4588 is 124

LCM of denominators i.e. for 451,8345 is 3763595.

Thus, GCF of Fractions is 124/3763595.Finally, GCF of Fractions for 1116/451, 4588/8345 is 124/3763595.