Greatest Common Factor of 407/851, 313/458, 139/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/851, 313/458, 139/232

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 407/851,313/458,139/232

Given fractions are 407/851,313/458,139/232

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 407,313,139

Greatest Common Factor of Numerators i.e. GCF of 407,313,139 is 1 .

LCM of Denominators means LCM of 851,458,232 as per the given fractions.

LCM of 851,458,232 is 45211928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,313,139

GCF of Fractions 407/851,313/458,139/232 is 1/45211928

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

Greatest Common Factor of 407,313,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,313,139 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 407,313,139 . The biggest common factor number is the GCF number.
So the greatest common factor 407,313,139 is 1.

Lets's calculate LCM of 851,458,232

2 851, 458, 232
851, 229, 116

∴ So the LCM of the given numbers is 2 x 851 x 229 x 116 = 45211928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45211928

Therefore, the GCF of Fractions 407/851,313/458,139/232 is 1/45211928

Least Common Multiple of 851,458,232 with GCF Formula

Least Common Multiple of 851,458,232 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 851,458,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,458,232) = 1

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

GCF(851,458,232) x common factors =1 x 2 = 2

LCM(851,458,232) = ( 851 × 458 × 232 ) / 2

LCM(851,458,232) = 90423856 / 2

LCM(851,458,232) = 45211928


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 407/851, 313/458, 139/232

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 407/851, 313/458, 139/232?

Answer: GCF of Numerators as per given numbers 407/851, 313/458, 139/232 is

GCF of Numerators i.e. for 407,313,139 is 1

LCM of denominators i.e. for 851,458,232 is 45211928.

Thus, GCF of Fractions is 1/45211928.Finally, GCF of Fractions for 407/851, 313/458, 139/232 is 1/45211928.