Greatest Common Factor of 673/37, 682/79, 344/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/37, 682/79, 344/498

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 673/37,682/79,344/498

Given fractions are 673/37,682/79,344/498

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 673,682,344

Greatest Common Factor of Numerators i.e. GCF of 673,682,344 is 1 .

LCM of Denominators means LCM of 37,79,498 as per the given fractions.

LCM of 37,79,498 is 1455654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,682,344

GCF of Fractions 673/37,682/79,344/498 is 1/1455654

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

Greatest Common Factor of 673,682,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,682,344 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 673,682,344 . The biggest common factor number is the GCF number.
So the greatest common factor 673,682,344 is 1.

Lets's calculate LCM of 37,79,498

Given numbers has no common factors except 1. So, there LCM is their product i.e 1455654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1455654

Therefore, the GCF of Fractions 673/37,682/79,344/498 is 1/1455654

Least Common Multiple of 37,79,498 with GCF Formula

Least Common Multiple of 37,79,498 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 37,79,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,79,498) = 1

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

GCF(37,79,498) x common factors =1 x 1 = 1

LCM(37,79,498) = ( 37 × 79 × 498 ) / 1

LCM(37,79,498) = 1455654 / 1

LCM(37,79,498) = 1455654


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 673/37, 682/79, 344/498

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 673/37, 682/79, 344/498?

Answer: GCF of Numerators as per given numbers 673/37, 682/79, 344/498 is

GCF of Numerators i.e. for 673,682,344 is 1

LCM of denominators i.e. for 37,79,498 is 1455654.

Thus, GCF of Fractions is 1/1455654.Finally, GCF of Fractions for 673/37, 682/79, 344/498 is 1/1455654.