Greatest Common Factor of 1382/81, 7722/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1382/81, 7722/462

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 1382/81,7722/462

Given fractions are 1382/81,7722/462

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 1382,7722

Greatest Common Factor of Numerators i.e. GCF of 1382,7722 is 2 .

LCM of Denominators means LCM of 81,462 as per the given fractions.

LCM of 81,462 is 12474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1382,7722

GCF of Fractions 1382/81,7722/462 is 2/12474

2 1382, 7722
691, 3861

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

Greatest Common Factor of 1382,7722 By Matching Biggest Common Factor Method

Greatest Common Factor of 1382,7722 By Matching Biggest Common Factor Method

Factors of 1382

List of positive integer factors of 1382 that divides 1382 without a remainder.

1,2,691,1382

Factors of 7722

List of positive integer factors of 7722 that divides 7722 without a remainder.

1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722

Greatest Common Factor

We found the factors 1382,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 1382,7722 is 2.

Lets's calculate LCM of 81,462

3 81, 462
27, 154

∴ So the LCM of the given numbers is 3 x 27 x 154 = 12474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12474

Therefore, the GCF of Fractions 1382/81,7722/462 is 2/12474

Least Common Multiple of 81,462 with GCF Formula

Least Common Multiple of 81,462 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 81,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,462) = 3

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

GCF(81,462) x common factors =3 x 1 = 3

LCM(81,462) = ( 81 × 462 ) / 3

LCM(81,462) = 37422 / 3

LCM(81,462) = 12474


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 1382/81, 7722/462

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 1382/81, 7722/462?

Answer: GCF of Numerators as per given numbers 1382/81, 7722/462 is

GCF of Numerators i.e. for 1382,7722 is 2

LCM of denominators i.e. for 81,462 is 12474.

Thus, GCF of Fractions is 2/12474.Finally, GCF of Fractions for 1382/81, 7722/462 is 2/12474.