Greatest Common Factor of 81/220, 175/770, 661/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/220, 175/770, 661/918

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 81/220,175/770,661/918

Given fractions are 81/220,175/770,661/918

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 81,175,661

Greatest Common Factor of Numerators i.e. GCF of 81,175,661 is 1 .

LCM of Denominators means LCM of 220,770,918 as per the given fractions.

LCM of 220,770,918 is 706860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,175,661

GCF of Fractions 81/220,175/770,661/918 is 1/706860

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

Greatest Common Factor of 81,175,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,175,661 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 81,175,661 . The biggest common factor number is the GCF number.
So the greatest common factor 81,175,661 is 1.

Lets's calculate LCM of 220,770,918

2 220, 770, 918
5 110, 385, 459
11 22, 77, 459
2, 7, 459

∴ So the LCM of the given numbers is 2 x 5 x 11 x 2 x 7 x 459 = 706860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706860

Therefore, the GCF of Fractions 81/220,175/770,661/918 is 1/706860

Least Common Multiple of 220,770,918 with GCF Formula

Least Common Multiple of 220,770,918 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 220,770,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,770,918) = 2

common factors(in case of two or more numbers have common factors) = 110

GCF(220,770,918) x common factors =2 x 110 = 220

LCM(220,770,918) = ( 220 × 770 × 918 ) / 220

LCM(220,770,918) = 155509200 / 220

LCM(220,770,918) = 706860


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 81/220, 175/770, 661/918

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 81/220, 175/770, 661/918?

Answer: GCF of Numerators as per given numbers 81/220, 175/770, 661/918 is

GCF of Numerators i.e. for 81,175,661 is 1

LCM of denominators i.e. for 220,770,918 is 706860.

Thus, GCF of Fractions is 1/706860.Finally, GCF of Fractions for 81/220, 175/770, 661/918 is 1/706860.