Greatest Common Factor of 855/47, 480/1139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 855/47, 480/1139

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 855/47,480/1139

Given fractions are 855/47,480/1139

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 855,480

Greatest Common Factor of Numerators i.e. GCF of 855,480 is 15 .

LCM of Denominators means LCM of 47,1139 as per the given fractions.

LCM of 47,1139 is 53533 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 855,480

GCF of Fractions 855/47,480/1139 is 15/53533

3 855, 480
5 285, 160
57, 32

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 855,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,480 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 855,480 . The biggest common factor number is the GCF number.
So the greatest common factor 855,480 is 15.

Lets's calculate LCM of 47,1139

Given numbers has no common factors except 1. So, there LCM is their product i.e 53533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/53533

Therefore, the GCF of Fractions 855/47,480/1139 is 15/53533

Least Common Multiple of 47,1139 with GCF Formula

Least Common Multiple of 47,1139 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 47,1139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,1139) = 1

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

GCF(47,1139) x common factors =1 x 1 = 1

LCM(47,1139) = ( 47 × 1139 ) / 1

LCM(47,1139) = 53533 / 1

LCM(47,1139) = 53533


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 855/47, 480/1139

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 855/47, 480/1139?

Answer: GCF of Numerators as per given numbers 855/47, 480/1139 is

GCF of Numerators i.e. for 855,480 is 15

LCM of denominators i.e. for 47,1139 is 53533.

Thus, GCF of Fractions is 15/53533.Finally, GCF of Fractions for 855/47, 480/1139 is 15/53533.