Greatest Common Factor of 921/69, 118/42, 109/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 921/69, 118/42, 109/387

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 921/69,118/42,109/387

Given fractions are 921/69,118/42,109/387

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 921,118,109

Greatest Common Factor of Numerators i.e. GCF of 921,118,109 is 1 .

LCM of Denominators means LCM of 69,42,387 as per the given fractions.

LCM of 69,42,387 is 124614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 921,118,109

GCF of Fractions 921/69,118/42,109/387 is 1/124614

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

Greatest Common Factor of 921,118,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,118,109 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 921,118,109 . The biggest common factor number is the GCF number.
So the greatest common factor 921,118,109 is 1.

Lets's calculate LCM of 69,42,387

3 69, 42, 387
23, 14, 129

∴ So the LCM of the given numbers is 3 x 23 x 14 x 129 = 124614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124614

Therefore, the GCF of Fractions 921/69,118/42,109/387 is 1/124614

Least Common Multiple of 69,42,387 with GCF Formula

Least Common Multiple of 69,42,387 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 69,42,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,42,387) = 3

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

GCF(69,42,387) x common factors =3 x 3 = 9

LCM(69,42,387) = ( 69 × 42 × 387 ) / 9

LCM(69,42,387) = 1121526 / 9

LCM(69,42,387) = 124614


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 921/69, 118/42, 109/387

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 921/69, 118/42, 109/387?

Answer: GCF of Numerators as per given numbers 921/69, 118/42, 109/387 is

GCF of Numerators i.e. for 921,118,109 is 1

LCM of denominators i.e. for 69,42,387 is 124614.

Thus, GCF of Fractions is 1/124614.Finally, GCF of Fractions for 921/69, 118/42, 109/387 is 1/124614.