Greatest Common Factor of 487/75, 291/26, 872/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/75, 291/26, 872/398

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 487/75,291/26,872/398

Given fractions are 487/75,291/26,872/398

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 487,291,872

Greatest Common Factor of Numerators i.e. GCF of 487,291,872 is 1 .

LCM of Denominators means LCM of 75,26,398 as per the given fractions.

LCM of 75,26,398 is 388050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,291,872

GCF of Fractions 487/75,291/26,872/398 is 1/388050

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

Greatest Common Factor of 487,291,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,291,872 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 487,291,872 . The biggest common factor number is the GCF number.
So the greatest common factor 487,291,872 is 1.

Lets's calculate LCM of 75,26,398

2 75, 26, 398
75, 13, 199

∴ So the LCM of the given numbers is 2 x 75 x 13 x 199 = 388050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388050

Therefore, the GCF of Fractions 487/75,291/26,872/398 is 1/388050

Least Common Multiple of 75,26,398 with GCF Formula

Least Common Multiple of 75,26,398 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 75,26,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,26,398) = 1

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

GCF(75,26,398) x common factors =1 x 2 = 2

LCM(75,26,398) = ( 75 × 26 × 398 ) / 2

LCM(75,26,398) = 776100 / 2

LCM(75,26,398) = 388050


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 487/75, 291/26, 872/398

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 487/75, 291/26, 872/398?

Answer: GCF of Numerators as per given numbers 487/75, 291/26, 872/398 is

GCF of Numerators i.e. for 487,291,872 is 1

LCM of denominators i.e. for 75,26,398 is 388050.

Thus, GCF of Fractions is 1/388050.Finally, GCF of Fractions for 487/75, 291/26, 872/398 is 1/388050.