Greatest Common Factor of 657/746, 7355/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/746, 7355/440

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 657/746,7355/440

Given fractions are 657/746,7355/440

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 657,7355

Greatest Common Factor of Numerators i.e. GCF of 657,7355 is 1 .

LCM of Denominators means LCM of 746,440 as per the given fractions.

LCM of 746,440 is 164120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,7355

GCF of Fractions 657/746,7355/440 is 1/164120

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

Greatest Common Factor of 657,7355 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,7355 By Matching Biggest Common Factor Method

Factors of 657

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

1,3,9,73,219,657

Factors of 7355

List of positive integer factors of 7355 that divides 7355 without a remainder.

1,5,1471,7355

Greatest Common Factor

We found the factors 657,7355 . The biggest common factor number is the GCF number.
So the greatest common factor 657,7355 is 1.

Lets's calculate LCM of 746,440

2 746, 440
373, 220

∴ So the LCM of the given numbers is 2 x 373 x 220 = 164120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164120

Therefore, the GCF of Fractions 657/746,7355/440 is 1/164120

Least Common Multiple of 746,440 with GCF Formula

Least Common Multiple of 746,440 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 746,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,440) = 2

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

GCF(746,440) x common factors =2 x 1 = 2

LCM(746,440) = ( 746 × 440 ) / 2

LCM(746,440) = 328240 / 2

LCM(746,440) = 164120


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 657/746, 7355/440

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 657/746, 7355/440?

Answer: GCF of Numerators as per given numbers 657/746, 7355/440 is

GCF of Numerators i.e. for 657,7355 is 1

LCM of denominators i.e. for 746,440 is 164120.

Thus, GCF of Fractions is 1/164120.Finally, GCF of Fractions for 657/746, 7355/440 is 1/164120.