Greatest Common Factor of 397/86, 918/13, 670/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 397/86, 918/13, 670/422

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 397/86,918/13,670/422

Given fractions are 397/86,918/13,670/422

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 397,918,670

Greatest Common Factor of Numerators i.e. GCF of 397,918,670 is 1 .

LCM of Denominators means LCM of 86,13,422 as per the given fractions.

LCM of 86,13,422 is 235898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 397,918,670

GCF of Fractions 397/86,918/13,670/422 is 1/235898

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

Greatest Common Factor of 397,918,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,918,670 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 397,918,670 . The biggest common factor number is the GCF number.
So the greatest common factor 397,918,670 is 1.

Lets's calculate LCM of 86,13,422

2 86, 13, 422
43, 13, 211

∴ So the LCM of the given numbers is 2 x 43 x 13 x 211 = 235898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235898

Therefore, the GCF of Fractions 397/86,918/13,670/422 is 1/235898

Least Common Multiple of 86,13,422 with GCF Formula

Least Common Multiple of 86,13,422 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 86,13,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,13,422) = 1

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

GCF(86,13,422) x common factors =1 x 2 = 2

LCM(86,13,422) = ( 86 × 13 × 422 ) / 2

LCM(86,13,422) = 471796 / 2

LCM(86,13,422) = 235898


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 397/86, 918/13, 670/422

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 397/86, 918/13, 670/422?

Answer: GCF of Numerators as per given numbers 397/86, 918/13, 670/422 is

GCF of Numerators i.e. for 397,918,670 is 1

LCM of denominators i.e. for 86,13,422 is 235898.

Thus, GCF of Fractions is 1/235898.Finally, GCF of Fractions for 397/86, 918/13, 670/422 is 1/235898.