Greatest Common Factor of 7052/693, 1698/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7052/693, 1698/191

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 7052/693,1698/191

Given fractions are 7052/693,1698/191

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 7052,1698

Greatest Common Factor of Numerators i.e. GCF of 7052,1698 is 2 .

LCM of Denominators means LCM of 693,191 as per the given fractions.

LCM of 693,191 is 132363 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7052,1698

GCF of Fractions 7052/693,1698/191 is 2/132363

2 7052, 1698
3526, 849

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7052,1698 By Matching Biggest Common Factor Method

Greatest Common Factor of 7052,1698 By Matching Biggest Common Factor Method

Factors of 7052

List of positive integer factors of 7052 that divides 7052 without a remainder.

1,2,4,41,43,82,86,164,172,1763,3526,7052

Factors of 1698

List of positive integer factors of 1698 that divides 1698 without a remainder.

1,2,3,6,283,566,849,1698

Greatest Common Factor

We found the factors 7052,1698 . The biggest common factor number is the GCF number.
So the greatest common factor 7052,1698 is 2.

Lets's calculate LCM of 693,191

Given numbers has no common factors except 1. So, there LCM is their product i.e 132363

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132363

Therefore, the GCF of Fractions 7052/693,1698/191 is 2/132363

Least Common Multiple of 693,191 with GCF Formula

Least Common Multiple of 693,191 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 693,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,191) = 1

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

GCF(693,191) x common factors =1 x 1 = 1

LCM(693,191) = ( 693 × 191 ) / 1

LCM(693,191) = 132363 / 1

LCM(693,191) = 132363


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 7052/693, 1698/191

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 7052/693, 1698/191?

Answer: GCF of Numerators as per given numbers 7052/693, 1698/191 is

GCF of Numerators i.e. for 7052,1698 is 2

LCM of denominators i.e. for 693,191 is 132363.

Thus, GCF of Fractions is 2/132363.Finally, GCF of Fractions for 7052/693, 1698/191 is 2/132363.