Greatest Common Factor of 862/19, 452/28, 272/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/19, 452/28, 272/582

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 862/19,452/28,272/582

Given fractions are 862/19,452/28,272/582

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 862,452,272

Greatest Common Factor of Numerators i.e. GCF of 862,452,272 is 2 .

LCM of Denominators means LCM of 19,28,582 as per the given fractions.

LCM of 19,28,582 is 154812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,452,272

GCF of Fractions 862/19,452/28,272/582 is 2/154812

2 862, 452, 272
431, 226, 136

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

Greatest Common Factor of 862,452,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,452,272 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 862,452,272 . The biggest common factor number is the GCF number.
So the greatest common factor 862,452,272 is 2.

Lets's calculate LCM of 19,28,582

2 19, 28, 582
19, 14, 291

∴ So the LCM of the given numbers is 2 x 19 x 14 x 291 = 154812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/154812

Therefore, the GCF of Fractions 862/19,452/28,272/582 is 2/154812

Least Common Multiple of 19,28,582 with GCF Formula

Least Common Multiple of 19,28,582 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 19,28,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,28,582) = 1

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

GCF(19,28,582) x common factors =1 x 2 = 2

LCM(19,28,582) = ( 19 × 28 × 582 ) / 2

LCM(19,28,582) = 309624 / 2

LCM(19,28,582) = 154812


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 862/19, 452/28, 272/582

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 862/19, 452/28, 272/582?

Answer: GCF of Numerators as per given numbers 862/19, 452/28, 272/582 is

GCF of Numerators i.e. for 862,452,272 is 2

LCM of denominators i.e. for 19,28,582 is 154812.

Thus, GCF of Fractions is 2/154812.Finally, GCF of Fractions for 862/19, 452/28, 272/582 is 2/154812.