Greatest Common Factor of 61/45, 751/67, 136/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/45, 751/67, 136/973

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 61/45,751/67,136/973

Given fractions are 61/45,751/67,136/973

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 61,751,136

Greatest Common Factor of Numerators i.e. GCF of 61,751,136 is 1 .

LCM of Denominators means LCM of 45,67,973 as per the given fractions.

LCM of 45,67,973 is 2933595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,751,136

GCF of Fractions 61/45,751/67,136/973 is 1/2933595

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

Greatest Common Factor of 61,751,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,751,136 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 61,751,136 . The biggest common factor number is the GCF number.
So the greatest common factor 61,751,136 is 1.

Lets's calculate LCM of 45,67,973

Given numbers has no common factors except 1. So, there LCM is their product i.e 2933595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2933595

Therefore, the GCF of Fractions 61/45,751/67,136/973 is 1/2933595

Least Common Multiple of 45,67,973 with GCF Formula

Least Common Multiple of 45,67,973 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 45,67,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,67,973) = 1

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

GCF(45,67,973) x common factors =1 x 1 = 1

LCM(45,67,973) = ( 45 × 67 × 973 ) / 1

LCM(45,67,973) = 2933595 / 1

LCM(45,67,973) = 2933595


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 61/45, 751/67, 136/973

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 61/45, 751/67, 136/973?

Answer: GCF of Numerators as per given numbers 61/45, 751/67, 136/973 is

GCF of Numerators i.e. for 61,751,136 is 1

LCM of denominators i.e. for 45,67,973 is 2933595.

Thus, GCF of Fractions is 1/2933595.Finally, GCF of Fractions for 61/45, 751/67, 136/973 is 1/2933595.