Greatest Common Factor of 3791/97, 6966/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3791/97, 6966/620

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 3791/97,6966/620

Given fractions are 3791/97,6966/620

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 3791,6966

Greatest Common Factor of Numerators i.e. GCF of 3791,6966 is 1 .

LCM of Denominators means LCM of 97,620 as per the given fractions.

LCM of 97,620 is 60140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3791,6966

GCF of Fractions 3791/97,6966/620 is 1/60140

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

Greatest Common Factor of 3791,6966 By Matching Biggest Common Factor Method

Greatest Common Factor of 3791,6966 By Matching Biggest Common Factor Method

Factors of 3791

List of positive integer factors of 3791 that divides 3791 without a remainder.

1,17,223,3791

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Greatest Common Factor

We found the factors 3791,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 3791,6966 is 1.

Lets's calculate LCM of 97,620

Given numbers has no common factors except 1. So, there LCM is their product i.e 60140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60140

Therefore, the GCF of Fractions 3791/97,6966/620 is 1/60140

Least Common Multiple of 97,620 with GCF Formula

Least Common Multiple of 97,620 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 97,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,620) = 1

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

GCF(97,620) x common factors =1 x 1 = 1

LCM(97,620) = ( 97 × 620 ) / 1

LCM(97,620) = 60140 / 1

LCM(97,620) = 60140


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 3791/97, 6966/620

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 3791/97, 6966/620?

Answer: GCF of Numerators as per given numbers 3791/97, 6966/620 is

GCF of Numerators i.e. for 3791,6966 is 1

LCM of denominators i.e. for 97,620 is 60140.

Thus, GCF of Fractions is 1/60140.Finally, GCF of Fractions for 3791/97, 6966/620 is 1/60140.