Greatest Common Factor of 897/92, 176/61, 975/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 897/92, 176/61, 975/437

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 897/92,176/61,975/437

Given fractions are 897/92,176/61,975/437

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 897,176,975

Greatest Common Factor of Numerators i.e. GCF of 897,176,975 is 1 .

LCM of Denominators means LCM of 92,61,437 as per the given fractions.

LCM of 92,61,437 is 106628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 897,176,975

GCF of Fractions 897/92,176/61,975/437 is 1/106628

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

Greatest Common Factor of 897,176,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,176,975 By Matching Biggest Common Factor Method

Factors of 897

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

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

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 897,176,975 . The biggest common factor number is the GCF number.
So the greatest common factor 897,176,975 is 1.

Lets's calculate LCM of 92,61,437

23 92, 61, 437
4, 61, 19

∴ So the LCM of the given numbers is 23 x 4 x 61 x 19 = 106628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106628

Therefore, the GCF of Fractions 897/92,176/61,975/437 is 1/106628

Least Common Multiple of 92,61,437 with GCF Formula

Least Common Multiple of 92,61,437 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 92,61,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,61,437) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(92,61,437) x common factors =1 x 23 = 23

LCM(92,61,437) = ( 92 × 61 × 437 ) / 23

LCM(92,61,437) = 2452444 / 23

LCM(92,61,437) = 106628


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 897/92, 176/61, 975/437

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 897/92, 176/61, 975/437?

Answer: GCF of Numerators as per given numbers 897/92, 176/61, 975/437 is

GCF of Numerators i.e. for 897,176,975 is 1

LCM of denominators i.e. for 92,61,437 is 106628.

Thus, GCF of Fractions is 1/106628.Finally, GCF of Fractions for 897/92, 176/61, 975/437 is 1/106628.