Greatest Common Factor of 974/185, 638/259, 300/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 974/185, 638/259, 300/629

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 974/185,638/259,300/629

Given fractions are 974/185,638/259,300/629

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 974,638,300

Greatest Common Factor of Numerators i.e. GCF of 974,638,300 is 2 .

LCM of Denominators means LCM of 185,259,629 as per the given fractions.

LCM of 185,259,629 is 22015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 974,638,300

GCF of Fractions 974/185,638/259,300/629 is 2/22015

2 974, 638, 300
487, 319, 150

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

Greatest Common Factor of 974,638,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,638,300 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 974,638,300 . The biggest common factor number is the GCF number.
So the greatest common factor 974,638,300 is 2.

Lets's calculate LCM of 185,259,629

37 185, 259, 629
5, 7, 17

∴ So the LCM of the given numbers is 37 x 5 x 7 x 17 = 22015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22015

Therefore, the GCF of Fractions 974/185,638/259,300/629 is 2/22015

Least Common Multiple of 185,259,629 with GCF Formula

Least Common Multiple of 185,259,629 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 185,259,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,259,629) = 37

common factors(in case of two or more numbers have common factors) = 37

GCF(185,259,629) x common factors =37 x 37 = 1369

LCM(185,259,629) = ( 185 × 259 × 629 ) / 1369

LCM(185,259,629) = 30138535 / 1369

LCM(185,259,629) = 22015


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 974/185, 638/259, 300/629

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 974/185, 638/259, 300/629?

Answer: GCF of Numerators as per given numbers 974/185, 638/259, 300/629 is

GCF of Numerators i.e. for 974,638,300 is 2

LCM of denominators i.e. for 185,259,629 is 22015.

Thus, GCF of Fractions is 2/22015.Finally, GCF of Fractions for 974/185, 638/259, 300/629 is 2/22015.