Greatest Common Factor of 665/22, 771/49, 657/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/22, 771/49, 657/404

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 665/22,771/49,657/404

Given fractions are 665/22,771/49,657/404

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 665,771,657

Greatest Common Factor of Numerators i.e. GCF of 665,771,657 is 1 .

LCM of Denominators means LCM of 22,49,404 as per the given fractions.

LCM of 22,49,404 is 217756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,771,657

GCF of Fractions 665/22,771/49,657/404 is 1/217756

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

Greatest Common Factor of 665,771,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,771,657 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 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 665,771,657 . The biggest common factor number is the GCF number.
So the greatest common factor 665,771,657 is 1.

Lets's calculate LCM of 22,49,404

2 22, 49, 404
11, 49, 202

∴ So the LCM of the given numbers is 2 x 11 x 49 x 202 = 217756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217756

Therefore, the GCF of Fractions 665/22,771/49,657/404 is 1/217756

Least Common Multiple of 22,49,404 with GCF Formula

Least Common Multiple of 22,49,404 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 22,49,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,49,404) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,49,404) x common factors =1 x 2 = 2

LCM(22,49,404) = ( 22 × 49 × 404 ) / 2

LCM(22,49,404) = 435512 / 2

LCM(22,49,404) = 217756


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 665/22, 771/49, 657/404

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 665/22, 771/49, 657/404?

Answer: GCF of Numerators as per given numbers 665/22, 771/49, 657/404 is

GCF of Numerators i.e. for 665,771,657 is 1

LCM of denominators i.e. for 22,49,404 is 217756.

Thus, GCF of Fractions is 1/217756.Finally, GCF of Fractions for 665/22, 771/49, 657/404 is 1/217756.