Greatest Common Factor of 6997/206, 2822/3913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6997/206, 2822/3913

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 6997/206,2822/3913

Given fractions are 6997/206,2822/3913

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 6997,2822

Greatest Common Factor of Numerators i.e. GCF of 6997,2822 is 1 .

LCM of Denominators means LCM of 206,3913 as per the given fractions.

LCM of 206,3913 is 806078 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6997,2822

GCF of Fractions 6997/206,2822/3913 is 1/806078

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

Greatest Common Factor of 6997,2822 By Matching Biggest Common Factor Method

Greatest Common Factor of 6997,2822 By Matching Biggest Common Factor Method

Factors of 6997

List of positive integer factors of 6997 that divides 6997 without a remainder.

1,6997

Factors of 2822

List of positive integer factors of 2822 that divides 2822 without a remainder.

1,2,17,34,83,166,1411,2822

Greatest Common Factor

We found the factors 6997,2822 . The biggest common factor number is the GCF number.
So the greatest common factor 6997,2822 is 1.

Lets's calculate LCM of 206,3913

Given numbers has no common factors except 1. So, there LCM is their product i.e 806078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/806078

Therefore, the GCF of Fractions 6997/206,2822/3913 is 1/806078

Least Common Multiple of 206,3913 with GCF Formula

Least Common Multiple of 206,3913 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 206,3913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,3913) = 1

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

GCF(206,3913) x common factors =1 x 1 = 1

LCM(206,3913) = ( 206 × 3913 ) / 1

LCM(206,3913) = 806078 / 1

LCM(206,3913) = 806078


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 6997/206, 2822/3913

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 6997/206, 2822/3913?

Answer: GCF of Numerators as per given numbers 6997/206, 2822/3913 is

GCF of Numerators i.e. for 6997,2822 is 1

LCM of denominators i.e. for 206,3913 is 806078.

Thus, GCF of Fractions is 1/806078.Finally, GCF of Fractions for 6997/206, 2822/3913 is 1/806078.