Greatest Common Factor of 2436/660, 3218/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2436/660, 3218/750

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 2436/660,3218/750

Given fractions are 2436/660,3218/750

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 2436,3218

Greatest Common Factor of Numerators i.e. GCF of 2436,3218 is 2 .

LCM of Denominators means LCM of 660,750 as per the given fractions.

LCM of 660,750 is 16500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2436,3218

GCF of Fractions 2436/660,3218/750 is 2/16500

2 2436, 3218
1218, 1609

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2436,3218 By Matching Biggest Common Factor Method

Greatest Common Factor of 2436,3218 By Matching Biggest Common Factor Method

Factors of 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436

Factors of 3218

List of positive integer factors of 3218 that divides 3218 without a remainder.

1,2,1609,3218

Greatest Common Factor

We found the factors 2436,3218 . The biggest common factor number is the GCF number.
So the greatest common factor 2436,3218 is 2.

Lets's calculate LCM of 660,750

2 660, 750
3 330, 375
5 110, 125
22, 25

∴ So the LCM of the given numbers is 2 x 3 x 5 x 22 x 25 = 16500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16500

Therefore, the GCF of Fractions 2436/660,3218/750 is 2/16500

Least Common Multiple of 660,750 with GCF Formula

Least Common Multiple of 660,750 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 660,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,750) = 30

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

GCF(660,750) x common factors =30 x 1 = 30

LCM(660,750) = ( 660 × 750 ) / 30

LCM(660,750) = 495000 / 30

LCM(660,750) = 16500


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 2436/660, 3218/750

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 2436/660, 3218/750?

Answer: GCF of Numerators as per given numbers 2436/660, 3218/750 is

GCF of Numerators i.e. for 2436,3218 is 2

LCM of denominators i.e. for 660,750 is 16500.

Thus, GCF of Fractions is 2/16500.Finally, GCF of Fractions for 2436/660, 3218/750 is 2/16500.