Greatest Common Factor of 2714/701, 6991/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2714/701, 6991/279

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 2714/701,6991/279

Given fractions are 2714/701,6991/279

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 2714,6991

Greatest Common Factor of Numerators i.e. GCF of 2714,6991 is 1 .

LCM of Denominators means LCM of 701,279 as per the given fractions.

LCM of 701,279 is 195579 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2714,6991

GCF of Fractions 2714/701,6991/279 is 1/195579

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

Greatest Common Factor of 2714,6991 By Matching Biggest Common Factor Method

Greatest Common Factor of 2714,6991 By Matching Biggest Common Factor Method

Factors of 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1,2,23,46,59,118,1357,2714

Factors of 6991

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

1,6991

Greatest Common Factor

We found the factors 2714,6991 . The biggest common factor number is the GCF number.
So the greatest common factor 2714,6991 is 1.

Lets's calculate LCM of 701,279

Given numbers has no common factors except 1. So, there LCM is their product i.e 195579

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195579

Therefore, the GCF of Fractions 2714/701,6991/279 is 1/195579

Least Common Multiple of 701,279 with GCF Formula

Least Common Multiple of 701,279 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 701,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,279) = 1

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

GCF(701,279) x common factors =1 x 1 = 1

LCM(701,279) = ( 701 × 279 ) / 1

LCM(701,279) = 195579 / 1

LCM(701,279) = 195579


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 2714/701, 6991/279

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 2714/701, 6991/279?

Answer: GCF of Numerators as per given numbers 2714/701, 6991/279 is

GCF of Numerators i.e. for 2714,6991 is 1

LCM of denominators i.e. for 701,279 is 195579.

Thus, GCF of Fractions is 1/195579.Finally, GCF of Fractions for 2714/701, 6991/279 is 1/195579.