Greatest Common Factor of 600/425, 864/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/425, 864/702

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 600/425,864/702

Given fractions are 600/425,864/702

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 600,864

Greatest Common Factor of Numerators i.e. GCF of 600,864 is 24 .

LCM of Denominators means LCM of 425,702 as per the given fractions.

LCM of 425,702 is 298350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,864

GCF of Fractions 600/425,864/702 is 24/298350

2 600, 864
2 300, 432
2 150, 216
3 75, 108
25, 36

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 600,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,864 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 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 600,864 . The biggest common factor number is the GCF number.
So the greatest common factor 600,864 is 24.

Lets's calculate LCM of 425,702

Given numbers has no common factors except 1. So, there LCM is their product i.e 298350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/298350

Therefore, the GCF of Fractions 600/425,864/702 is 24/298350

Least Common Multiple of 425,702 with GCF Formula

Least Common Multiple of 425,702 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 425,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,702) = 1

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

GCF(425,702) x common factors =1 x 1 = 1

LCM(425,702) = ( 425 × 702 ) / 1

LCM(425,702) = 298350 / 1

LCM(425,702) = 298350


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 600/425, 864/702

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 600/425, 864/702?

Answer: GCF of Numerators as per given numbers 600/425, 864/702 is

GCF of Numerators i.e. for 600,864 is 24

LCM of denominators i.e. for 425,702 is 298350.

Thus, GCF of Fractions is 24/298350.Finally, GCF of Fractions for 600/425, 864/702 is 24/298350.