Greatest Common Factor of 6991/188, 1459/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6991/188, 1459/842

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 6991/188,1459/842

Given fractions are 6991/188,1459/842

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 6991,1459

Greatest Common Factor of Numerators i.e. GCF of 6991,1459 is 1 .

LCM of Denominators means LCM of 188,842 as per the given fractions.

LCM of 188,842 is 79148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6991,1459

GCF of Fractions 6991/188,1459/842 is 1/79148

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

Greatest Common Factor of 6991,1459 By Matching Biggest Common Factor Method

Greatest Common Factor of 6991,1459 By Matching Biggest Common Factor Method

Factors of 6991

List of positive integer factors of 6991 that divides 6991 without a remainder.

1,6991

Factors of 1459

List of positive integer factors of 1459 that divides 1459 without a remainder.

1,1459

Greatest Common Factor

We found the factors 6991,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 6991,1459 is 1.

Lets's calculate LCM of 188,842

2 188, 842
94, 421

∴ So the LCM of the given numbers is 2 x 94 x 421 = 79148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79148

Therefore, the GCF of Fractions 6991/188,1459/842 is 1/79148

Least Common Multiple of 188,842 with GCF Formula

Least Common Multiple of 188,842 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 188,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,842) = 2

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

GCF(188,842) x common factors =2 x 1 = 2

LCM(188,842) = ( 188 × 842 ) / 2

LCM(188,842) = 158296 / 2

LCM(188,842) = 79148


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 6991/188, 1459/842

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 6991/188, 1459/842?

Answer: GCF of Numerators as per given numbers 6991/188, 1459/842 is

GCF of Numerators i.e. for 6991,1459 is 1

LCM of denominators i.e. for 188,842 is 79148.

Thus, GCF of Fractions is 1/79148.Finally, GCF of Fractions for 6991/188, 1459/842 is 1/79148.