Greatest Common Factor of 341/457, 4279/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 341/457, 4279/422

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 341/457,4279/422

Given fractions are 341/457,4279/422

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 341,4279

Greatest Common Factor of Numerators i.e. GCF of 341,4279 is 11 .

LCM of Denominators means LCM of 457,422 as per the given fractions.

LCM of 457,422 is 192854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 341,4279

GCF of Fractions 341/457,4279/422 is 11/192854

11 341, 4279
31, 389

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 341,4279 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,4279 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 4279

List of positive integer factors of 4279 that divides 4279 without a remainder.

1,11,389,4279

Greatest Common Factor

We found the factors 341,4279 . The biggest common factor number is the GCF number.
So the greatest common factor 341,4279 is 11.

Lets's calculate LCM of 457,422

Given numbers has no common factors except 1. So, there LCM is their product i.e 192854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/192854

Therefore, the GCF of Fractions 341/457,4279/422 is 11/192854

Least Common Multiple of 457,422 with GCF Formula

Least Common Multiple of 457,422 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 457,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,422) = 1

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

GCF(457,422) x common factors =1 x 1 = 1

LCM(457,422) = ( 457 × 422 ) / 1

LCM(457,422) = 192854 / 1

LCM(457,422) = 192854


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 341/457, 4279/422

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 341/457, 4279/422?

Answer: GCF of Numerators as per given numbers 341/457, 4279/422 is

GCF of Numerators i.e. for 341,4279 is 11

LCM of denominators i.e. for 457,422 is 192854.

Thus, GCF of Fractions is 11/192854.Finally, GCF of Fractions for 341/457, 4279/422 is 11/192854.