Greatest Common Factor of 674/713, 298/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 674/713, 298/397

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 674/713,298/397

Given fractions are 674/713,298/397

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 674,298

Greatest Common Factor of Numerators i.e. GCF of 674,298 is 2 .

LCM of Denominators means LCM of 713,397 as per the given fractions.

LCM of 713,397 is 283061 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 674,298

GCF of Fractions 674/713,298/397 is 2/283061

2 674, 298
337, 149

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

Greatest Common Factor of 674,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,298 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 674,298 . The biggest common factor number is the GCF number.
So the greatest common factor 674,298 is 2.

Lets's calculate LCM of 713,397

Given numbers has no common factors except 1. So, there LCM is their product i.e 283061

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/283061

Therefore, the GCF of Fractions 674/713,298/397 is 2/283061

Least Common Multiple of 713,397 with GCF Formula

Least Common Multiple of 713,397 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 713,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,397) = 1

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

GCF(713,397) x common factors =1 x 1 = 1

LCM(713,397) = ( 713 × 397 ) / 1

LCM(713,397) = 283061 / 1

LCM(713,397) = 283061


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 674/713, 298/397

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 674/713, 298/397?

Answer: GCF of Numerators as per given numbers 674/713, 298/397 is

GCF of Numerators i.e. for 674,298 is 2

LCM of denominators i.e. for 713,397 is 283061.

Thus, GCF of Fractions is 2/283061.Finally, GCF of Fractions for 674/713, 298/397 is 2/283061.