Greatest Common Factor of 453/656, 645/205, 464/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 453/656, 645/205, 464/296

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 453/656,645/205,464/296

Given fractions are 453/656,645/205,464/296

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 453,645,464

Greatest Common Factor of Numerators i.e. GCF of 453,645,464 is 1 .

LCM of Denominators means LCM of 656,205,296 as per the given fractions.

LCM of 656,205,296 is 121360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 453,645,464

GCF of Fractions 453/656,645/205,464/296 is 1/121360

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

Greatest Common Factor of 453,645,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,645,464 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 453,645,464 . The biggest common factor number is the GCF number.
So the greatest common factor 453,645,464 is 1.

Lets's calculate LCM of 656,205,296

2 656, 205, 296
2 328, 205, 148
2 164, 205, 74
41 82, 205, 37
2, 5, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 2 x 5 x 37 = 121360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121360

Therefore, the GCF of Fractions 453/656,645/205,464/296 is 1/121360

Least Common Multiple of 656,205,296 with GCF Formula

Least Common Multiple of 656,205,296 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 656,205,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,205,296) = 1

common factors(in case of two or more numbers have common factors) = 328

GCF(656,205,296) x common factors =1 x 328 = 328

LCM(656,205,296) = ( 656 × 205 × 296 ) / 328

LCM(656,205,296) = 39806080 / 328

LCM(656,205,296) = 121360


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 453/656, 645/205, 464/296

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 453/656, 645/205, 464/296?

Answer: GCF of Numerators as per given numbers 453/656, 645/205, 464/296 is

GCF of Numerators i.e. for 453,645,464 is 1

LCM of denominators i.e. for 656,205,296 is 121360.

Thus, GCF of Fractions is 1/121360.Finally, GCF of Fractions for 453/656, 645/205, 464/296 is 1/121360.