Greatest Common Factor of 7982/691, 1395/7258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7982/691, 1395/7258

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 7982/691,1395/7258

Given fractions are 7982/691,1395/7258

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 7982,1395

Greatest Common Factor of Numerators i.e. GCF of 7982,1395 is 1 .

LCM of Denominators means LCM of 691,7258 as per the given fractions.

LCM of 691,7258 is 5015278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7982,1395

GCF of Fractions 7982/691,1395/7258 is 1/5015278

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

Greatest Common Factor of 7982,1395 By Matching Biggest Common Factor Method

Greatest Common Factor of 7982,1395 By Matching Biggest Common Factor Method

Factors of 7982

List of positive integer factors of 7982 that divides 7982 without a remainder.

1,2,13,26,307,614,3991,7982

Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1,3,5,9,15,31,45,93,155,279,465,1395

Greatest Common Factor

We found the factors 7982,1395 . The biggest common factor number is the GCF number.
So the greatest common factor 7982,1395 is 1.

Lets's calculate LCM of 691,7258

Given numbers has no common factors except 1. So, there LCM is their product i.e 5015278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5015278

Therefore, the GCF of Fractions 7982/691,1395/7258 is 1/5015278

Least Common Multiple of 691,7258 with GCF Formula

Least Common Multiple of 691,7258 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 691,7258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,7258) = 1

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

GCF(691,7258) x common factors =1 x 1 = 1

LCM(691,7258) = ( 691 × 7258 ) / 1

LCM(691,7258) = 5015278 / 1

LCM(691,7258) = 5015278


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 7982/691, 1395/7258

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 7982/691, 1395/7258?

Answer: GCF of Numerators as per given numbers 7982/691, 1395/7258 is

GCF of Numerators i.e. for 7982,1395 is 1

LCM of denominators i.e. for 691,7258 is 5015278.

Thus, GCF of Fractions is 1/5015278.Finally, GCF of Fractions for 7982/691, 1395/7258 is 1/5015278.