Greatest Common Factor of 2/19, 32/42, 40/169, 987/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/19, 32/42, 40/169, 987/532

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 2/19,32/42,40/169,987/532

Given fractions are 2/19,32/42,40/169,987/532

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 2,32,40,987

Greatest Common Factor of Numerators i.e. GCF of 2,32,40,987 is 1 .

LCM of Denominators means LCM of 19,42,169,532 as per the given fractions.

LCM of 19,42,169,532 is 269724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,32,40,987

GCF of Fractions 2/19,32/42,40/169,987/532 is 1/269724

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2,32,40,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,32,40,987 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 2,32,40,987 . The biggest common factor number is the GCF number.
So the greatest common factor 2,32,40,987 is 1.

Lets's calculate LCM of 19,42,169,532

2 19, 42, 169, 532
7 19, 21, 169, 266
19 19, 3, 169, 38
1, 3, 169, 2

∴ So the LCM of the given numbers is 2 x 7 x 19 x 1 x 3 x 169 x 2 = 269724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269724

Therefore, the GCF of Fractions 2/19,32/42,40/169,987/532 is 1/269724

Least Common Multiple of 19,42,169,532 with GCF Formula

Least Common Multiple of 19,42,169,532 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 19,42,169,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,42,169,532) = 1

common factors(in case of two or more numbers have common factors) = 266

GCF(19,42,169,532) x common factors =1 x 266 = 266

LCM(19,42,169,532) = ( 19 × 42 × 169 × 532 ) / 266

LCM(19,42,169,532) = 71746584 / 266

LCM(19,42,169,532) = 269724


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 2/19, 32/42, 40/169, 987/532

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 2/19, 32/42, 40/169, 987/532?

Answer: GCF of Numerators as per given numbers 2/19, 32/42, 40/169, 987/532 is

GCF of Numerators i.e. for 2,32,40,987 is 1

LCM of denominators i.e. for 19,42,169,532 is 269724.

Thus, GCF of Fractions is 1/269724.Finally, GCF of Fractions for 2/19, 32/42, 40/169, 987/532 is 1/269724.