Greatest Common Factor of 32/21, 217/81, 875/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/21, 217/81, 875/870

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 32/21,217/81,875/870

Given fractions are 32/21,217/81,875/870

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 32,217,875

Greatest Common Factor of Numerators i.e. GCF of 32,217,875 is 1 .

LCM of Denominators means LCM of 21,81,870 as per the given fractions.

LCM of 21,81,870 is 164430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,217,875

GCF of Fractions 32/21,217/81,875/870 is 1/164430

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

Greatest Common Factor of 32,217,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,217,875 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 32,217,875 . The biggest common factor number is the GCF number.
So the greatest common factor 32,217,875 is 1.

Lets's calculate LCM of 21,81,870

3 21, 81, 870
7, 27, 290

∴ So the LCM of the given numbers is 3 x 7 x 27 x 290 = 164430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164430

Therefore, the GCF of Fractions 32/21,217/81,875/870 is 1/164430

Least Common Multiple of 21,81,870 with GCF Formula

Least Common Multiple of 21,81,870 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 21,81,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,81,870) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(21,81,870) x common factors =3 x 3 = 9

LCM(21,81,870) = ( 21 × 81 × 870 ) / 9

LCM(21,81,870) = 1479870 / 9

LCM(21,81,870) = 164430


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 32/21, 217/81, 875/870

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 32/21, 217/81, 875/870?

Answer: GCF of Numerators as per given numbers 32/21, 217/81, 875/870 is

GCF of Numerators i.e. for 32,217,875 is 1

LCM of denominators i.e. for 21,81,870 is 164430.

Thus, GCF of Fractions is 1/164430.Finally, GCF of Fractions for 32/21, 217/81, 875/870 is 1/164430.