Greatest Common Factor of 457/4050, 659/9379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 457/4050, 659/9379

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 457/4050,659/9379

Given fractions are 457/4050,659/9379

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 457,659

Greatest Common Factor of Numerators i.e. GCF of 457,659 is 1 .

LCM of Denominators means LCM of 4050,9379 as per the given fractions.

LCM of 4050,9379 is 37984950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 457,659

GCF of Fractions 457/4050,659/9379 is 1/37984950

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

Greatest Common Factor of 457,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,659 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 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 457,659 . The biggest common factor number is the GCF number.
So the greatest common factor 457,659 is 1.

Lets's calculate LCM of 4050,9379

Given numbers has no common factors except 1. So, there LCM is their product i.e 37984950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37984950

Therefore, the GCF of Fractions 457/4050,659/9379 is 1/37984950

Least Common Multiple of 4050,9379 with GCF Formula

Least Common Multiple of 4050,9379 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 4050,9379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4050,9379) = 1

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

GCF(4050,9379) x common factors =1 x 1 = 1

LCM(4050,9379) = ( 4050 × 9379 ) / 1

LCM(4050,9379) = 37984950 / 1

LCM(4050,9379) = 37984950


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 457/4050, 659/9379

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 457/4050, 659/9379?

Answer: GCF of Numerators as per given numbers 457/4050, 659/9379 is

GCF of Numerators i.e. for 457,659 is 1

LCM of denominators i.e. for 4050,9379 is 37984950.

Thus, GCF of Fractions is 1/37984950.Finally, GCF of Fractions for 457/4050, 659/9379 is 1/37984950.