Greatest Common Factor of 1482/18, 1972/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1482/18, 1972/142

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 1482/18,1972/142

Given fractions are 1482/18,1972/142

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 1482,1972

Greatest Common Factor of Numerators i.e. GCF of 1482,1972 is 2 .

LCM of Denominators means LCM of 18,142 as per the given fractions.

LCM of 18,142 is 1278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1482,1972

GCF of Fractions 1482/18,1972/142 is 2/1278

2 1482, 1972
741, 986

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

Greatest Common Factor of 1482,1972 By Matching Biggest Common Factor Method

Greatest Common Factor of 1482,1972 By Matching Biggest Common Factor Method

Factors of 1482

List of positive integer factors of 1482 that divides 1482 without a remainder.

1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482

Factors of 1972

List of positive integer factors of 1972 that divides 1972 without a remainder.

1,2,4,17,29,34,58,68,116,493,986,1972

Greatest Common Factor

We found the factors 1482,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 1482,1972 is 2.

Lets's calculate LCM of 18,142

2 18, 142
9, 71

∴ So the LCM of the given numbers is 2 x 9 x 71 = 1278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1278

Therefore, the GCF of Fractions 1482/18,1972/142 is 2/1278

Least Common Multiple of 18,142 with GCF Formula

Least Common Multiple of 18,142 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 18,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,142) = 2

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

GCF(18,142) x common factors =2 x 1 = 2

LCM(18,142) = ( 18 × 142 ) / 2

LCM(18,142) = 2556 / 2

LCM(18,142) = 1278


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 1482/18, 1972/142

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 1482/18, 1972/142?

Answer: GCF of Numerators as per given numbers 1482/18, 1972/142 is

GCF of Numerators i.e. for 1482,1972 is 2

LCM of denominators i.e. for 18,142 is 1278.

Thus, GCF of Fractions is 2/1278.Finally, GCF of Fractions for 1482/18, 1972/142 is 2/1278.