Greatest Common Factor of 457/338, 3920/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 457/338, 3920/222

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 457/338,3920/222

Given fractions are 457/338,3920/222

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 457,3920

Greatest Common Factor of Numerators i.e. GCF of 457,3920 is 1 .

LCM of Denominators means LCM of 338,222 as per the given fractions.

LCM of 338,222 is 37518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 457,3920

GCF of Fractions 457/338,3920/222 is 1/37518

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

Greatest Common Factor of 457,3920 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,3920 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920

Greatest Common Factor

We found the factors 457,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 457,3920 is 1.

Lets's calculate LCM of 338,222

2 338, 222
169, 111

∴ So the LCM of the given numbers is 2 x 169 x 111 = 37518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37518

Therefore, the GCF of Fractions 457/338,3920/222 is 1/37518

Least Common Multiple of 338,222 with GCF Formula

Least Common Multiple of 338,222 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 338,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,222) = 2

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

GCF(338,222) x common factors =2 x 1 = 2

LCM(338,222) = ( 338 × 222 ) / 2

LCM(338,222) = 75036 / 2

LCM(338,222) = 37518


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 457/338, 3920/222

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 457/338, 3920/222?

Answer: GCF of Numerators as per given numbers 457/338, 3920/222 is

GCF of Numerators i.e. for 457,3920 is 1

LCM of denominators i.e. for 338,222 is 37518.

Thus, GCF of Fractions is 1/37518.Finally, GCF of Fractions for 457/338, 3920/222 is 1/37518.