Greatest Common Factor of 675/24, 807/50, 504/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/24, 807/50, 504/765

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 675/24,807/50,504/765

Given fractions are 675/24,807/50,504/765

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 675,807,504

Greatest Common Factor of Numerators i.e. GCF of 675,807,504 is 3 .

LCM of Denominators means LCM of 24,50,765 as per the given fractions.

LCM of 24,50,765 is 30600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,807,504

GCF of Fractions 675/24,807/50,504/765 is 3/30600

3 675, 807, 504
225, 269, 168

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 675,807,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,807,504 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 675,807,504 . The biggest common factor number is the GCF number.
So the greatest common factor 675,807,504 is 3.

Lets's calculate LCM of 24,50,765

2 24, 50, 765
3 12, 25, 765
5 4, 25, 255
4, 5, 51

∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 5 x 51 = 30600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30600

Therefore, the GCF of Fractions 675/24,807/50,504/765 is 3/30600

Least Common Multiple of 24,50,765 with GCF Formula

Least Common Multiple of 24,50,765 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 24,50,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,50,765) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(24,50,765) x common factors =1 x 30 = 30

LCM(24,50,765) = ( 24 × 50 × 765 ) / 30

LCM(24,50,765) = 918000 / 30

LCM(24,50,765) = 30600


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 675/24, 807/50, 504/765

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 675/24, 807/50, 504/765?

Answer: GCF of Numerators as per given numbers 675/24, 807/50, 504/765 is

GCF of Numerators i.e. for 675,807,504 is 3

LCM of denominators i.e. for 24,50,765 is 30600.

Thus, GCF of Fractions is 3/30600.Finally, GCF of Fractions for 675/24, 807/50, 504/765 is 3/30600.