Greatest Common Factor of 19/82, 490/42, 159/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/82, 490/42, 159/431

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 19/82,490/42,159/431

Given fractions are 19/82,490/42,159/431

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 19,490,159

Greatest Common Factor of Numerators i.e. GCF of 19,490,159 is 1 .

LCM of Denominators means LCM of 82,42,431 as per the given fractions.

LCM of 82,42,431 is 742182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,490,159

GCF of Fractions 19/82,490/42,159/431 is 1/742182

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

Greatest Common Factor of 19,490,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,490,159 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 19,490,159 . The biggest common factor number is the GCF number.
So the greatest common factor 19,490,159 is 1.

Lets's calculate LCM of 82,42,431

2 82, 42, 431
41, 21, 431

∴ So the LCM of the given numbers is 2 x 41 x 21 x 431 = 742182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/742182

Therefore, the GCF of Fractions 19/82,490/42,159/431 is 1/742182

Least Common Multiple of 82,42,431 with GCF Formula

Least Common Multiple of 82,42,431 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 82,42,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,42,431) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,42,431) x common factors =1 x 2 = 2

LCM(82,42,431) = ( 82 × 42 × 431 ) / 2

LCM(82,42,431) = 1484364 / 2

LCM(82,42,431) = 742182


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 19/82, 490/42, 159/431

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 19/82, 490/42, 159/431?

Answer: GCF of Numerators as per given numbers 19/82, 490/42, 159/431 is

GCF of Numerators i.e. for 19,490,159 is 1

LCM of denominators i.e. for 82,42,431 is 742182.

Thus, GCF of Fractions is 1/742182.Finally, GCF of Fractions for 19/82, 490/42, 159/431 is 1/742182.