Greatest Common Factor of 481/38, 880/87, 839/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 481/38, 880/87, 839/282

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 481/38,880/87,839/282

Given fractions are 481/38,880/87,839/282

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 481,880,839

Greatest Common Factor of Numerators i.e. GCF of 481,880,839 is 1 .

LCM of Denominators means LCM of 38,87,282 as per the given fractions.

LCM of 38,87,282 is 155382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 481,880,839

GCF of Fractions 481/38,880/87,839/282 is 1/155382

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

Greatest Common Factor of 481,880,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,880,839 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 481,880,839 . The biggest common factor number is the GCF number.
So the greatest common factor 481,880,839 is 1.

Lets's calculate LCM of 38,87,282

2 38, 87, 282
3 19, 87, 141
19, 29, 47

∴ So the LCM of the given numbers is 2 x 3 x 19 x 29 x 47 = 155382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155382

Therefore, the GCF of Fractions 481/38,880/87,839/282 is 1/155382

Least Common Multiple of 38,87,282 with GCF Formula

Least Common Multiple of 38,87,282 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 38,87,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,87,282) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(38,87,282) x common factors =1 x 6 = 6

LCM(38,87,282) = ( 38 × 87 × 282 ) / 6

LCM(38,87,282) = 932292 / 6

LCM(38,87,282) = 155382


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 481/38, 880/87, 839/282

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 481/38, 880/87, 839/282?

Answer: GCF of Numerators as per given numbers 481/38, 880/87, 839/282 is

GCF of Numerators i.e. for 481,880,839 is 1

LCM of denominators i.e. for 38,87,282 is 155382.

Thus, GCF of Fractions is 1/155382.Finally, GCF of Fractions for 481/38, 880/87, 839/282 is 1/155382.