Greatest Common Factor of 118/37, 873/75, 346/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/37, 873/75, 346/414

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 118/37,873/75,346/414

Given fractions are 118/37,873/75,346/414

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 118,873,346

Greatest Common Factor of Numerators i.e. GCF of 118,873,346 is 1 .

LCM of Denominators means LCM of 37,75,414 as per the given fractions.

LCM of 37,75,414 is 382950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,873,346

GCF of Fractions 118/37,873/75,346/414 is 1/382950

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

Greatest Common Factor of 118,873,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,873,346 By Matching Biggest Common Factor Method

Factors of 118

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

1,2,59,118

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 118,873,346 . The biggest common factor number is the GCF number.
So the greatest common factor 118,873,346 is 1.

Lets's calculate LCM of 37,75,414

3 37, 75, 414
37, 25, 138

∴ So the LCM of the given numbers is 3 x 37 x 25 x 138 = 382950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382950

Therefore, the GCF of Fractions 118/37,873/75,346/414 is 1/382950

Least Common Multiple of 37,75,414 with GCF Formula

Least Common Multiple of 37,75,414 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 37,75,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,75,414) = 1

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

GCF(37,75,414) x common factors =1 x 3 = 3

LCM(37,75,414) = ( 37 × 75 × 414 ) / 3

LCM(37,75,414) = 1148850 / 3

LCM(37,75,414) = 382950


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 118/37, 873/75, 346/414

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 118/37, 873/75, 346/414?

Answer: GCF of Numerators as per given numbers 118/37, 873/75, 346/414 is

GCF of Numerators i.e. for 118,873,346 is 1

LCM of denominators i.e. for 37,75,414 is 382950.

Thus, GCF of Fractions is 1/382950.Finally, GCF of Fractions for 118/37, 873/75, 346/414 is 1/382950.