Greatest Common Factor of 89/85, 21/33, 938/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/85, 21/33, 938/654

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 89/85,21/33,938/654

Given fractions are 89/85,21/33,938/654

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 89,21,938

Greatest Common Factor of Numerators i.e. GCF of 89,21,938 is 1 .

LCM of Denominators means LCM of 85,33,654 as per the given fractions.

LCM of 85,33,654 is 611490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,21,938

GCF of Fractions 89/85,21/33,938/654 is 1/611490

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

Greatest Common Factor of 89,21,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,21,938 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 89,21,938 . The biggest common factor number is the GCF number.
So the greatest common factor 89,21,938 is 1.

Lets's calculate LCM of 85,33,654

3 85, 33, 654
85, 11, 218

∴ So the LCM of the given numbers is 3 x 85 x 11 x 218 = 611490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/611490

Therefore, the GCF of Fractions 89/85,21/33,938/654 is 1/611490

Least Common Multiple of 85,33,654 with GCF Formula

Least Common Multiple of 85,33,654 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 85,33,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,33,654) = 1

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

GCF(85,33,654) x common factors =1 x 3 = 3

LCM(85,33,654) = ( 85 × 33 × 654 ) / 3

LCM(85,33,654) = 1834470 / 3

LCM(85,33,654) = 611490


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 89/85, 21/33, 938/654

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 89/85, 21/33, 938/654?

Answer: GCF of Numerators as per given numbers 89/85, 21/33, 938/654 is

GCF of Numerators i.e. for 89,21,938 is 1

LCM of denominators i.e. for 85,33,654 is 611490.

Thus, GCF of Fractions is 1/611490.Finally, GCF of Fractions for 89/85, 21/33, 938/654 is 1/611490.