Greatest Common Factor of 452/58, 717/26, 547/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 452/58, 717/26, 547/95

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 452/58,717/26,547/95

Given fractions are 452/58,717/26,547/95

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 452,717,547

Greatest Common Factor of Numerators i.e. GCF of 452,717,547 is 1 .

LCM of Denominators means LCM of 58,26,95 as per the given fractions.

LCM of 58,26,95 is 71630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 452,717,547

GCF of Fractions 452/58,717/26,547/95 is 1/71630

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

Greatest Common Factor of 452,717,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,717,547 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 452,717,547 . The biggest common factor number is the GCF number.
So the greatest common factor 452,717,547 is 1.

Lets's calculate LCM of 58,26,95

2 58, 26, 95
29, 13, 95

∴ So the LCM of the given numbers is 2 x 29 x 13 x 95 = 71630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71630

Therefore, the GCF of Fractions 452/58,717/26,547/95 is 1/71630

Least Common Multiple of 58,26,95 with GCF Formula

Least Common Multiple of 58,26,95 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 58,26,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,26,95) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,26,95) x common factors =1 x 2 = 2

LCM(58,26,95) = ( 58 × 26 × 95 ) / 2

LCM(58,26,95) = 143260 / 2

LCM(58,26,95) = 71630


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 452/58, 717/26, 547/95

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 452/58, 717/26, 547/95?

Answer: GCF of Numerators as per given numbers 452/58, 717/26, 547/95 is

GCF of Numerators i.e. for 452,717,547 is 1

LCM of denominators i.e. for 58,26,95 is 71630.

Thus, GCF of Fractions is 1/71630.Finally, GCF of Fractions for 452/58, 717/26, 547/95 is 1/71630.