Greatest Common Factor of 981/407, 8164/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 981/407, 8164/791

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 981/407,8164/791

Given fractions are 981/407,8164/791

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 981,8164

Greatest Common Factor of Numerators i.e. GCF of 981,8164 is 1 .

LCM of Denominators means LCM of 407,791 as per the given fractions.

LCM of 407,791 is 321937 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 981,8164

GCF of Fractions 981/407,8164/791 is 1/321937

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

Greatest Common Factor of 981,8164 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,8164 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Greatest Common Factor

We found the factors 981,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 981,8164 is 1.

Lets's calculate LCM of 407,791

Given numbers has no common factors except 1. So, there LCM is their product i.e 321937

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321937

Therefore, the GCF of Fractions 981/407,8164/791 is 1/321937

Least Common Multiple of 407,791 with GCF Formula

Least Common Multiple of 407,791 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 407,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,791) = 1

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

GCF(407,791) x common factors =1 x 1 = 1

LCM(407,791) = ( 407 × 791 ) / 1

LCM(407,791) = 321937 / 1

LCM(407,791) = 321937


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 981/407, 8164/791

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 981/407, 8164/791?

Answer: GCF of Numerators as per given numbers 981/407, 8164/791 is

GCF of Numerators i.e. for 981,8164 is 1

LCM of denominators i.e. for 407,791 is 321937.

Thus, GCF of Fractions is 1/321937.Finally, GCF of Fractions for 981/407, 8164/791 is 1/321937.