Greatest Common Factor of 5775/864, 4715/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5775/864, 4715/990

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 5775/864,4715/990

Given fractions are 5775/864,4715/990

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 5775,4715

Greatest Common Factor of Numerators i.e. GCF of 5775,4715 is 5 .

LCM of Denominators means LCM of 864,990 as per the given fractions.

LCM of 864,990 is 47520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5775,4715

GCF of Fractions 5775/864,4715/990 is 5/47520

5 5775, 4715
1155, 943

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5775,4715 By Matching Biggest Common Factor Method

Greatest Common Factor of 5775,4715 By Matching Biggest Common Factor Method

Factors of 5775

List of positive integer factors of 5775 that divides 5775 without a remainder.

1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775

Factors of 4715

List of positive integer factors of 4715 that divides 4715 without a remainder.

1,5,23,41,115,205,943,4715

Greatest Common Factor

We found the factors 5775,4715 . The biggest common factor number is the GCF number.
So the greatest common factor 5775,4715 is 5.

Lets's calculate LCM of 864,990

2 864, 990
3 432, 495
3 144, 165
48, 55

∴ So the LCM of the given numbers is 2 x 3 x 3 x 48 x 55 = 47520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/47520

Therefore, the GCF of Fractions 5775/864,4715/990 is 5/47520

Least Common Multiple of 864,990 with GCF Formula

Least Common Multiple of 864,990 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 864,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,990) = 18

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

GCF(864,990) x common factors =18 x 1 = 18

LCM(864,990) = ( 864 × 990 ) / 18

LCM(864,990) = 855360 / 18

LCM(864,990) = 47520


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 5775/864, 4715/990

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 5775/864, 4715/990?

Answer: GCF of Numerators as per given numbers 5775/864, 4715/990 is

GCF of Numerators i.e. for 5775,4715 is 5

LCM of denominators i.e. for 864,990 is 47520.

Thus, GCF of Fractions is 5/47520.Finally, GCF of Fractions for 5775/864, 4715/990 is 5/47520.