Greatest Common Factor of 937/85, 353/75, 457/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 937/85, 353/75, 457/687

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 937/85,353/75,457/687

Given fractions are 937/85,353/75,457/687

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 937,353,457

Greatest Common Factor of Numerators i.e. GCF of 937,353,457 is 1 .

LCM of Denominators means LCM of 85,75,687 as per the given fractions.

LCM of 85,75,687 is 291975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 937,353,457

GCF of Fractions 937/85,353/75,457/687 is 1/291975

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

Greatest Common Factor of 937,353,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,353,457 By Matching Biggest Common Factor Method

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 937,353,457 . The biggest common factor number is the GCF number.
So the greatest common factor 937,353,457 is 1.

Lets's calculate LCM of 85,75,687

3 85, 75, 687
5 85, 25, 229
17, 5, 229

∴ So the LCM of the given numbers is 3 x 5 x 17 x 5 x 229 = 291975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291975

Therefore, the GCF of Fractions 937/85,353/75,457/687 is 1/291975

Least Common Multiple of 85,75,687 with GCF Formula

Least Common Multiple of 85,75,687 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 85,75,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,75,687) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(85,75,687) x common factors =1 x 15 = 15

LCM(85,75,687) = ( 85 × 75 × 687 ) / 15

LCM(85,75,687) = 4379625 / 15

LCM(85,75,687) = 291975


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 937/85, 353/75, 457/687

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 937/85, 353/75, 457/687?

Answer: GCF of Numerators as per given numbers 937/85, 353/75, 457/687 is

GCF of Numerators i.e. for 937,353,457 is 1

LCM of denominators i.e. for 85,75,687 is 291975.

Thus, GCF of Fractions is 1/291975.Finally, GCF of Fractions for 937/85, 353/75, 457/687 is 1/291975.