Greatest Common Factor of 61/37, 89/76, 73/49, 69/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/37, 89/76, 73/49, 69/789

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 61/37,89/76,73/49,69/789

Given fractions are 61/37,89/76,73/49,69/789

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 61,89,73,69

Greatest Common Factor of Numerators i.e. GCF of 61,89,73,69 is 1 .

LCM of Denominators means LCM of 37,76,49,789 as per the given fractions.

LCM of 37,76,49,789 is 108714732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,89,73,69

GCF of Fractions 61/37,89/76,73/49,69/789 is 1/108714732

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

Greatest Common Factor of 61,89,73,69 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,89,73,69 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Greatest Common Factor

We found the factors 61,89,73,69 . The biggest common factor number is the GCF number.
So the greatest common factor 61,89,73,69 is 1.

Lets's calculate LCM of 37,76,49,789

Given numbers has no common factors except 1. So, there LCM is their product i.e 108714732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108714732

Therefore, the GCF of Fractions 61/37,89/76,73/49,69/789 is 1/108714732

Least Common Multiple of 37,76,49,789 with GCF Formula

Least Common Multiple of 37,76,49,789 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 37,76,49,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,76,49,789) = 1

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

GCF(37,76,49,789) x common factors =1 x 1 = 1

LCM(37,76,49,789) = ( 37 × 76 × 49 × 789 ) / 1

LCM(37,76,49,789) = 108714732 / 1

LCM(37,76,49,789) = 108714732


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 61/37, 89/76, 73/49, 69/789

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 61/37, 89/76, 73/49, 69/789?

Answer: GCF of Numerators as per given numbers 61/37, 89/76, 73/49, 69/789 is

GCF of Numerators i.e. for 61,89,73,69 is 1

LCM of denominators i.e. for 37,76,49,789 is 108714732.

Thus, GCF of Fractions is 1/108714732.Finally, GCF of Fractions for 61/37, 89/76, 73/49, 69/789 is 1/108714732.