Greatest Common Factor of 88/721, 746/224, 897/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/721, 746/224, 897/228

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 88/721,746/224,897/228

Given fractions are 88/721,746/224,897/228

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 88,746,897

Greatest Common Factor of Numerators i.e. GCF of 88,746,897 is 1 .

LCM of Denominators means LCM of 721,224,228 as per the given fractions.

LCM of 721,224,228 is 1315104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,746,897

GCF of Fractions 88/721,746/224,897/228 is 1/1315104

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

Greatest Common Factor of 88,746,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,746,897 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 88,746,897 . The biggest common factor number is the GCF number.
So the greatest common factor 88,746,897 is 1.

Lets's calculate LCM of 721,224,228

2 721, 224, 228
2 721, 112, 114
7 721, 56, 57
103, 8, 57

∴ So the LCM of the given numbers is 2 x 2 x 7 x 103 x 8 x 57 = 1315104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1315104

Therefore, the GCF of Fractions 88/721,746/224,897/228 is 1/1315104

Least Common Multiple of 721,224,228 with GCF Formula

Least Common Multiple of 721,224,228 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 721,224,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,224,228) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(721,224,228) x common factors =1 x 28 = 28

LCM(721,224,228) = ( 721 × 224 × 228 ) / 28

LCM(721,224,228) = 36822912 / 28

LCM(721,224,228) = 1315104


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 88/721, 746/224, 897/228

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 88/721, 746/224, 897/228?

Answer: GCF of Numerators as per given numbers 88/721, 746/224, 897/228 is

GCF of Numerators i.e. for 88,746,897 is 1

LCM of denominators i.e. for 721,224,228 is 1315104.

Thus, GCF of Fractions is 1/1315104.Finally, GCF of Fractions for 88/721, 746/224, 897/228 is 1/1315104.