Greatest Common Factor of 515/86, 971/14, 162/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 515/86, 971/14, 162/11

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 515/86,971/14,162/11

Given fractions are 515/86,971/14,162/11

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 515,971,162

Greatest Common Factor of Numerators i.e. GCF of 515,971,162 is 1 .

LCM of Denominators means LCM of 86,14,11 as per the given fractions.

LCM of 86,14,11 is 6622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 515,971,162

GCF of Fractions 515/86,971/14,162/11 is 1/6622

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

Greatest Common Factor of 515,971,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,971,162 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 515,971,162 . The biggest common factor number is the GCF number.
So the greatest common factor 515,971,162 is 1.

Lets's calculate LCM of 86,14,11

2 86, 14, 11
43, 7, 11

∴ So the LCM of the given numbers is 2 x 43 x 7 x 11 = 6622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6622

Therefore, the GCF of Fractions 515/86,971/14,162/11 is 1/6622

Least Common Multiple of 86,14,11 with GCF Formula

Least Common Multiple of 86,14,11 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 86,14,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,14,11) = 1

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

GCF(86,14,11) x common factors =1 x 2 = 2

LCM(86,14,11) = ( 86 × 14 × 11 ) / 2

LCM(86,14,11) = 13244 / 2

LCM(86,14,11) = 6622


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 515/86, 971/14, 162/11

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 515/86, 971/14, 162/11?

Answer: GCF of Numerators as per given numbers 515/86, 971/14, 162/11 is

GCF of Numerators i.e. for 515,971,162 is 1

LCM of denominators i.e. for 86,14,11 is 6622.

Thus, GCF of Fractions is 1/6622.Finally, GCF of Fractions for 515/86, 971/14, 162/11 is 1/6622.