Greatest Common Factor of 5835/135, 7236/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5835/135, 7236/563

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 5835/135,7236/563

Given fractions are 5835/135,7236/563

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 5835,7236

Greatest Common Factor of Numerators i.e. GCF of 5835,7236 is 3 .

LCM of Denominators means LCM of 135,563 as per the given fractions.

LCM of 135,563 is 76005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5835,7236

GCF of Fractions 5835/135,7236/563 is 3/76005

3 5835, 7236
1945, 2412

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

Greatest Common Factor of 5835,7236 By Matching Biggest Common Factor Method

Greatest Common Factor of 5835,7236 By Matching Biggest Common Factor Method

Factors of 5835

List of positive integer factors of 5835 that divides 5835 without a remainder.

1,3,5,15,389,1167,1945,5835

Factors of 7236

List of positive integer factors of 7236 that divides 7236 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236

Greatest Common Factor

We found the factors 5835,7236 . The biggest common factor number is the GCF number.
So the greatest common factor 5835,7236 is 3.

Lets's calculate LCM of 135,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 76005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/76005

Therefore, the GCF of Fractions 5835/135,7236/563 is 3/76005

Least Common Multiple of 135,563 with GCF Formula

Least Common Multiple of 135,563 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 135,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,563) = 1

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

GCF(135,563) x common factors =1 x 1 = 1

LCM(135,563) = ( 135 × 563 ) / 1

LCM(135,563) = 76005 / 1

LCM(135,563) = 76005


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 5835/135, 7236/563

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 5835/135, 7236/563?

Answer: GCF of Numerators as per given numbers 5835/135, 7236/563 is

GCF of Numerators i.e. for 5835,7236 is 3

LCM of denominators i.e. for 135,563 is 76005.

Thus, GCF of Fractions is 3/76005.Finally, GCF of Fractions for 5835/135, 7236/563 is 3/76005.