Greatest Common Factor of 1770/31, 8696/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1770/31, 8696/545

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 1770/31,8696/545

Given fractions are 1770/31,8696/545

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 1770,8696

Greatest Common Factor of Numerators i.e. GCF of 1770,8696 is 2 .

LCM of Denominators means LCM of 31,545 as per the given fractions.

LCM of 31,545 is 16895 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1770,8696

GCF of Fractions 1770/31,8696/545 is 2/16895

2 1770, 8696
885, 4348

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1770,8696 By Matching Biggest Common Factor Method

Greatest Common Factor of 1770,8696 By Matching Biggest Common Factor Method

Factors of 1770

List of positive integer factors of 1770 that divides 1770 without a remainder.

1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770

Factors of 8696

List of positive integer factors of 8696 that divides 8696 without a remainder.

1,2,4,8,1087,2174,4348,8696

Greatest Common Factor

We found the factors 1770,8696 . The biggest common factor number is the GCF number.
So the greatest common factor 1770,8696 is 2.

Lets's calculate LCM of 31,545

Given numbers has no common factors except 1. So, there LCM is their product i.e 16895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16895

Therefore, the GCF of Fractions 1770/31,8696/545 is 2/16895

Least Common Multiple of 31,545 with GCF Formula

Least Common Multiple of 31,545 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 31,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,545) = 1

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

GCF(31,545) x common factors =1 x 1 = 1

LCM(31,545) = ( 31 × 545 ) / 1

LCM(31,545) = 16895 / 1

LCM(31,545) = 16895


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 1770/31, 8696/545

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 1770/31, 8696/545?

Answer: GCF of Numerators as per given numbers 1770/31, 8696/545 is

GCF of Numerators i.e. for 1770,8696 is 2

LCM of denominators i.e. for 31,545 is 16895.

Thus, GCF of Fractions is 2/16895.Finally, GCF of Fractions for 1770/31, 8696/545 is 2/16895.