Greatest Common Factor of 653/228, 671/404, 471/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/228, 671/404, 471/661

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 653/228,671/404,471/661

Given fractions are 653/228,671/404,471/661

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 653,671,471

Greatest Common Factor of Numerators i.e. GCF of 653,671,471 is 1 .

LCM of Denominators means LCM of 228,404,661 as per the given fractions.

LCM of 228,404,661 is 15221508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,671,471

GCF of Fractions 653/228,671/404,471/661 is 1/15221508

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

Greatest Common Factor of 653,671,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,671,471 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 653,671,471 . The biggest common factor number is the GCF number.
So the greatest common factor 653,671,471 is 1.

Lets's calculate LCM of 228,404,661

2 228, 404, 661
2 114, 202, 661
57, 101, 661

∴ So the LCM of the given numbers is 2 x 2 x 57 x 101 x 661 = 15221508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15221508

Therefore, the GCF of Fractions 653/228,671/404,471/661 is 1/15221508

Least Common Multiple of 228,404,661 with GCF Formula

Least Common Multiple of 228,404,661 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 228,404,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,404,661) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(228,404,661) x common factors =1 x 4 = 4

LCM(228,404,661) = ( 228 × 404 × 661 ) / 4

LCM(228,404,661) = 60886032 / 4

LCM(228,404,661) = 15221508


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 653/228, 671/404, 471/661

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 653/228, 671/404, 471/661?

Answer: GCF of Numerators as per given numbers 653/228, 671/404, 471/661 is

GCF of Numerators i.e. for 653,671,471 is 1

LCM of denominators i.e. for 228,404,661 is 15221508.

Thus, GCF of Fractions is 1/15221508.Finally, GCF of Fractions for 653/228, 671/404, 471/661 is 1/15221508.