Greatest Common Factor of 341/96, 862/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 341/96, 862/642

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 341/96,862/642

Given fractions are 341/96,862/642

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 341,862

Greatest Common Factor of Numerators i.e. GCF of 341,862 is 1 .

LCM of Denominators means LCM of 96,642 as per the given fractions.

LCM of 96,642 is 10272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 341,862

GCF of Fractions 341/96,862/642 is 1/10272

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

Greatest Common Factor of 341,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,862 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 341,862 . The biggest common factor number is the GCF number.
So the greatest common factor 341,862 is 1.

Lets's calculate LCM of 96,642

2 96, 642
3 48, 321
16, 107

∴ So the LCM of the given numbers is 2 x 3 x 16 x 107 = 10272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10272

Therefore, the GCF of Fractions 341/96,862/642 is 1/10272

Least Common Multiple of 96,642 with GCF Formula

Least Common Multiple of 96,642 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 96,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,642) = 6

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

GCF(96,642) x common factors =6 x 1 = 6

LCM(96,642) = ( 96 × 642 ) / 6

LCM(96,642) = 61632 / 6

LCM(96,642) = 10272


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 341/96, 862/642

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 341/96, 862/642?

Answer: GCF of Numerators as per given numbers 341/96, 862/642 is

GCF of Numerators i.e. for 341,862 is 1

LCM of denominators i.e. for 96,642 is 10272.

Thus, GCF of Fractions is 1/10272.Finally, GCF of Fractions for 341/96, 862/642 is 1/10272.