Greatest Common Factor of 8453/762, 6112/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8453/762, 6112/898

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 8453/762,6112/898

Given fractions are 8453/762,6112/898

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 8453,6112

Greatest Common Factor of Numerators i.e. GCF of 8453,6112 is 1 .

LCM of Denominators means LCM of 762,898 as per the given fractions.

LCM of 762,898 is 342138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8453,6112

GCF of Fractions 8453/762,6112/898 is 1/342138

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8453,6112 By Matching Biggest Common Factor Method

Greatest Common Factor of 8453,6112 By Matching Biggest Common Factor Method

Factors of 8453

List of positive integer factors of 8453 that divides 8453 without a remainder.

1,79,107,8453

Factors of 6112

List of positive integer factors of 6112 that divides 6112 without a remainder.

1,2,4,8,16,32,191,382,764,1528,3056,6112

Greatest Common Factor

We found the factors 8453,6112 . The biggest common factor number is the GCF number.
So the greatest common factor 8453,6112 is 1.

Lets's calculate LCM of 762,898

2 762, 898
381, 449

∴ So the LCM of the given numbers is 2 x 381 x 449 = 342138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342138

Therefore, the GCF of Fractions 8453/762,6112/898 is 1/342138

Least Common Multiple of 762,898 with GCF Formula

Least Common Multiple of 762,898 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 762,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,898) = 2

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

GCF(762,898) x common factors =2 x 1 = 2

LCM(762,898) = ( 762 × 898 ) / 2

LCM(762,898) = 684276 / 2

LCM(762,898) = 342138


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 8453/762, 6112/898

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 8453/762, 6112/898?

Answer: GCF of Numerators as per given numbers 8453/762, 6112/898 is

GCF of Numerators i.e. for 8453,6112 is 1

LCM of denominators i.e. for 762,898 is 342138.

Thus, GCF of Fractions is 1/342138.Finally, GCF of Fractions for 8453/762, 6112/898 is 1/342138.