Greatest Common Factor of 3636/62, 7622/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3636/62, 7622/744

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 3636/62,7622/744

Given fractions are 3636/62,7622/744

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 3636,7622

Greatest Common Factor of Numerators i.e. GCF of 3636,7622 is 2 .

LCM of Denominators means LCM of 62,744 as per the given fractions.

LCM of 62,744 is 744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3636,7622

GCF of Fractions 3636/62,7622/744 is 2/744

2 3636, 7622
1818, 3811

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

Greatest Common Factor of 3636,7622 By Matching Biggest Common Factor Method

Greatest Common Factor of 3636,7622 By Matching Biggest Common Factor Method

Factors of 3636

List of positive integer factors of 3636 that divides 3636 without a remainder.

1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636

Factors of 7622

List of positive integer factors of 7622 that divides 7622 without a remainder.

1,2,37,74,103,206,3811,7622

Greatest Common Factor

We found the factors 3636,7622 . The biggest common factor number is the GCF number.
So the greatest common factor 3636,7622 is 2.

Lets's calculate LCM of 62,744

2 62, 744
31 31, 372
1, 12

∴ So the LCM of the given numbers is 2 x 31 x 1 x 12 = 744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/744

Therefore, the GCF of Fractions 3636/62,7622/744 is 2/744

Least Common Multiple of 62,744 with GCF Formula

Least Common Multiple of 62,744 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 62,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,744) = 62

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

GCF(62,744) x common factors =62 x 1 = 62

LCM(62,744) = ( 62 × 744 ) / 62

LCM(62,744) = 46128 / 62

LCM(62,744) = 744


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 3636/62, 7622/744

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 3636/62, 7622/744?

Answer: GCF of Numerators as per given numbers 3636/62, 7622/744 is

GCF of Numerators i.e. for 3636,7622 is 2

LCM of denominators i.e. for 62,744 is 744.

Thus, GCF of Fractions is 2/744.Finally, GCF of Fractions for 3636/62, 7622/744 is 2/744.