Greatest Common Factor of 1236/874, 3633/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1236/874, 3633/265

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 1236/874,3633/265

Given fractions are 1236/874,3633/265

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 1236,3633

Greatest Common Factor of Numerators i.e. GCF of 1236,3633 is 3 .

LCM of Denominators means LCM of 874,265 as per the given fractions.

LCM of 874,265 is 231610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1236,3633

GCF of Fractions 1236/874,3633/265 is 3/231610

3 1236, 3633
412, 1211

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

Greatest Common Factor of 1236,3633 By Matching Biggest Common Factor Method

Greatest Common Factor of 1236,3633 By Matching Biggest Common Factor Method

Factors of 1236

List of positive integer factors of 1236 that divides 1236 without a remainder.

1,2,3,4,6,12,103,206,309,412,618,1236

Factors of 3633

List of positive integer factors of 3633 that divides 3633 without a remainder.

1,3,7,21,173,519,1211,3633

Greatest Common Factor

We found the factors 1236,3633 . The biggest common factor number is the GCF number.
So the greatest common factor 1236,3633 is 3.

Lets's calculate LCM of 874,265

Given numbers has no common factors except 1. So, there LCM is their product i.e 231610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/231610

Therefore, the GCF of Fractions 1236/874,3633/265 is 3/231610

Least Common Multiple of 874,265 with GCF Formula

Least Common Multiple of 874,265 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 874,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,265) = 1

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

GCF(874,265) x common factors =1 x 1 = 1

LCM(874,265) = ( 874 × 265 ) / 1

LCM(874,265) = 231610 / 1

LCM(874,265) = 231610


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 1236/874, 3633/265

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 1236/874, 3633/265?

Answer: GCF of Numerators as per given numbers 1236/874, 3633/265 is

GCF of Numerators i.e. for 1236,3633 is 3

LCM of denominators i.e. for 874,265 is 231610.

Thus, GCF of Fractions is 3/231610.Finally, GCF of Fractions for 1236/874, 3633/265 is 3/231610.