Greatest Common Factor of 665/42, 7912/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/42, 7912/257

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 665/42,7912/257

Given fractions are 665/42,7912/257

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 665,7912

Greatest Common Factor of Numerators i.e. GCF of 665,7912 is 1 .

LCM of Denominators means LCM of 42,257 as per the given fractions.

LCM of 42,257 is 10794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,7912

GCF of Fractions 665/42,7912/257 is 1/10794

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

Greatest Common Factor of 665,7912 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,7912 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 7912

List of positive integer factors of 7912 that divides 7912 without a remainder.

1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912

Greatest Common Factor

We found the factors 665,7912 . The biggest common factor number is the GCF number.
So the greatest common factor 665,7912 is 1.

Lets's calculate LCM of 42,257

Given numbers has no common factors except 1. So, there LCM is their product i.e 10794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10794

Therefore, the GCF of Fractions 665/42,7912/257 is 1/10794

Least Common Multiple of 42,257 with GCF Formula

Least Common Multiple of 42,257 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 42,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,257) = 1

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

GCF(42,257) x common factors =1 x 1 = 1

LCM(42,257) = ( 42 × 257 ) / 1

LCM(42,257) = 10794 / 1

LCM(42,257) = 10794


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 665/42, 7912/257

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 665/42, 7912/257?

Answer: GCF of Numerators as per given numbers 665/42, 7912/257 is

GCF of Numerators i.e. for 665,7912 is 1

LCM of denominators i.e. for 42,257 is 10794.

Thus, GCF of Fractions is 1/10794.Finally, GCF of Fractions for 665/42, 7912/257 is 1/10794.