Greatest Common Factor of 7973/621, 6953/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7973/621, 6953/340

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 7973/621,6953/340

Given fractions are 7973/621,6953/340

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 7973,6953

Greatest Common Factor of Numerators i.e. GCF of 7973,6953 is 17 .

LCM of Denominators means LCM of 621,340 as per the given fractions.

LCM of 621,340 is 211140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7973,6953

GCF of Fractions 7973/621,6953/340 is 17/211140

17 7973, 6953
469, 409

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 7973,6953 By Matching Biggest Common Factor Method

Greatest Common Factor of 7973,6953 By Matching Biggest Common Factor Method

Factors of 7973

List of positive integer factors of 7973 that divides 7973 without a remainder.

1,7,17,67,119,469,1139,7973

Factors of 6953

List of positive integer factors of 6953 that divides 6953 without a remainder.

1,17,409,6953

Greatest Common Factor

We found the factors 7973,6953 . The biggest common factor number is the GCF number.
So the greatest common factor 7973,6953 is 17.

Lets's calculate LCM of 621,340

Given numbers has no common factors except 1. So, there LCM is their product i.e 211140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/211140

Therefore, the GCF of Fractions 7973/621,6953/340 is 17/211140

Least Common Multiple of 621,340 with GCF Formula

Least Common Multiple of 621,340 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 621,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,340) = 1

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

GCF(621,340) x common factors =1 x 1 = 1

LCM(621,340) = ( 621 × 340 ) / 1

LCM(621,340) = 211140 / 1

LCM(621,340) = 211140


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 7973/621, 6953/340

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 7973/621, 6953/340?

Answer: GCF of Numerators as per given numbers 7973/621, 6953/340 is

GCF of Numerators i.e. for 7973,6953 is 17

LCM of denominators i.e. for 621,340 is 211140.

Thus, GCF of Fractions is 17/211140.Finally, GCF of Fractions for 7973/621, 6953/340 is 17/211140.