Greatest Common Factor of 95/78, 719/32, 121/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/78, 719/32, 121/729

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 95/78,719/32,121/729

Given fractions are 95/78,719/32,121/729

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 95,719,121

Greatest Common Factor of Numerators i.e. GCF of 95,719,121 is 1 .

LCM of Denominators means LCM of 78,32,729 as per the given fractions.

LCM of 78,32,729 is 303264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,719,121

GCF of Fractions 95/78,719/32,121/729 is 1/303264

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

Greatest Common Factor of 95,719,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,719,121 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 95,719,121 . The biggest common factor number is the GCF number.
So the greatest common factor 95,719,121 is 1.

Lets's calculate LCM of 78,32,729

2 78, 32, 729
3 39, 16, 729
13, 16, 243

∴ So the LCM of the given numbers is 2 x 3 x 13 x 16 x 243 = 303264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303264

Therefore, the GCF of Fractions 95/78,719/32,121/729 is 1/303264

Least Common Multiple of 78,32,729 with GCF Formula

Least Common Multiple of 78,32,729 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 78,32,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,32,729) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,32,729) x common factors =1 x 6 = 6

LCM(78,32,729) = ( 78 × 32 × 729 ) / 6

LCM(78,32,729) = 1819584 / 6

LCM(78,32,729) = 303264


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 95/78, 719/32, 121/729

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 95/78, 719/32, 121/729?

Answer: GCF of Numerators as per given numbers 95/78, 719/32, 121/729 is

GCF of Numerators i.e. for 95,719,121 is 1

LCM of denominators i.e. for 78,32,729 is 303264.

Thus, GCF of Fractions is 1/303264.Finally, GCF of Fractions for 95/78, 719/32, 121/729 is 1/303264.