Greatest Common Factor of 68/86, 79/881, 102/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/86, 79/881, 102/857

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 68/86,79/881,102/857

Given fractions are 68/86,79/881,102/857

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 68,79,102

Greatest Common Factor of Numerators i.e. GCF of 68,79,102 is 1 .

LCM of Denominators means LCM of 86,881,857 as per the given fractions.

LCM of 86,881,857 is 64931462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,79,102

GCF of Fractions 68/86,79/881,102/857 is 1/64931462

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

Greatest Common Factor of 68,79,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,79,102 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 68,79,102 . The biggest common factor number is the GCF number.
So the greatest common factor 68,79,102 is 1.

Lets's calculate LCM of 86,881,857

Given numbers has no common factors except 1. So, there LCM is their product i.e 64931462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64931462

Therefore, the GCF of Fractions 68/86,79/881,102/857 is 1/64931462

Least Common Multiple of 86,881,857 with GCF Formula

Least Common Multiple of 86,881,857 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 86,881,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,881,857) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(86,881,857) x common factors =1 x 1 = 1

LCM(86,881,857) = ( 86 × 881 × 857 ) / 1

LCM(86,881,857) = 64931462 / 1

LCM(86,881,857) = 64931462


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 68/86, 79/881, 102/857

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 68/86, 79/881, 102/857?

Answer: GCF of Numerators as per given numbers 68/86, 79/881, 102/857 is

GCF of Numerators i.e. for 68,79,102 is 1

LCM of denominators i.e. for 86,881,857 is 64931462.

Thus, GCF of Fractions is 1/64931462.Finally, GCF of Fractions for 68/86, 79/881, 102/857 is 1/64931462.