Greatest Common Factor of 771/43, 968/1686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 771/43, 968/1686

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 771/43,968/1686

Given fractions are 771/43,968/1686

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 771,968

Greatest Common Factor of Numerators i.e. GCF of 771,968 is 1 .

LCM of Denominators means LCM of 43,1686 as per the given fractions.

LCM of 43,1686 is 72498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 771,968

GCF of Fractions 771/43,968/1686 is 1/72498

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

Greatest Common Factor of 771,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,968 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 771,968 . The biggest common factor number is the GCF number.
So the greatest common factor 771,968 is 1.

Lets's calculate LCM of 43,1686

Given numbers has no common factors except 1. So, there LCM is their product i.e 72498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72498

Therefore, the GCF of Fractions 771/43,968/1686 is 1/72498

Least Common Multiple of 43,1686 with GCF Formula

Least Common Multiple of 43,1686 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 43,1686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,1686) = 1

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

GCF(43,1686) x common factors =1 x 1 = 1

LCM(43,1686) = ( 43 × 1686 ) / 1

LCM(43,1686) = 72498 / 1

LCM(43,1686) = 72498


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 771/43, 968/1686

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 771/43, 968/1686?

Answer: GCF of Numerators as per given numbers 771/43, 968/1686 is

GCF of Numerators i.e. for 771,968 is 1

LCM of denominators i.e. for 43,1686 is 72498.

Thus, GCF of Fractions is 1/72498.Finally, GCF of Fractions for 771/43, 968/1686 is 1/72498.