Greatest Common Factor of 600/684, 870/298, 634/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/684, 870/298, 634/396

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 600/684,870/298,634/396

Given fractions are 600/684,870/298,634/396

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 600,870,634

Greatest Common Factor of Numerators i.e. GCF of 600,870,634 is 2 .

LCM of Denominators means LCM of 684,298,396 as per the given fractions.

LCM of 684,298,396 is 1121076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,870,634

GCF of Fractions 600/684,870/298,634/396 is 2/1121076

2 600, 870, 634
300, 435, 317

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

Greatest Common Factor of 600,870,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,870,634 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 600,870,634 . The biggest common factor number is the GCF number.
So the greatest common factor 600,870,634 is 2.

Lets's calculate LCM of 684,298,396

2 684, 298, 396
2 342, 149, 198
3 171, 149, 99
3 57, 149, 33
19, 149, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 149 x 11 = 1121076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1121076

Therefore, the GCF of Fractions 600/684,870/298,634/396 is 2/1121076

Least Common Multiple of 684,298,396 with GCF Formula

Least Common Multiple of 684,298,396 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 684,298,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,298,396) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(684,298,396) x common factors =2 x 36 = 72

LCM(684,298,396) = ( 684 × 298 × 396 ) / 72

LCM(684,298,396) = 80717472 / 72

LCM(684,298,396) = 1121076


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 600/684, 870/298, 634/396

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 600/684, 870/298, 634/396?

Answer: GCF of Numerators as per given numbers 600/684, 870/298, 634/396 is

GCF of Numerators i.e. for 600,870,634 is 2

LCM of denominators i.e. for 684,298,396 is 1121076.

Thus, GCF of Fractions is 2/1121076.Finally, GCF of Fractions for 600/684, 870/298, 634/396 is 2/1121076.