Greatest Common Factor of 674/52, 660/58, 208/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 674/52, 660/58, 208/393

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 674/52,660/58,208/393

Given fractions are 674/52,660/58,208/393

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 674,660,208

Greatest Common Factor of Numerators i.e. GCF of 674,660,208 is 2 .

LCM of Denominators means LCM of 52,58,393 as per the given fractions.

LCM of 52,58,393 is 592644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 674,660,208

GCF of Fractions 674/52,660/58,208/393 is 2/592644

2 674, 660, 208
337, 330, 104

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

Greatest Common Factor of 674,660,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,660,208 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 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 674,660,208 . The biggest common factor number is the GCF number.
So the greatest common factor 674,660,208 is 2.

Lets's calculate LCM of 52,58,393

2 52, 58, 393
26, 29, 393

∴ So the LCM of the given numbers is 2 x 26 x 29 x 393 = 592644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/592644

Therefore, the GCF of Fractions 674/52,660/58,208/393 is 2/592644

Least Common Multiple of 52,58,393 with GCF Formula

Least Common Multiple of 52,58,393 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 52,58,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,58,393) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,58,393) x common factors =1 x 2 = 2

LCM(52,58,393) = ( 52 × 58 × 393 ) / 2

LCM(52,58,393) = 1185288 / 2

LCM(52,58,393) = 592644


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 674/52, 660/58, 208/393

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 674/52, 660/58, 208/393?

Answer: GCF of Numerators as per given numbers 674/52, 660/58, 208/393 is

GCF of Numerators i.e. for 674,660,208 is 2

LCM of denominators i.e. for 52,58,393 is 592644.

Thus, GCF of Fractions is 2/592644.Finally, GCF of Fractions for 674/52, 660/58, 208/393 is 2/592644.