Greatest Common Factor of 855/38, 273/71, 835/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 855/38, 273/71, 835/739

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 855/38,273/71,835/739

Given fractions are 855/38,273/71,835/739

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 855,273,835

Greatest Common Factor of Numerators i.e. GCF of 855,273,835 is 1 .

LCM of Denominators means LCM of 38,71,739 as per the given fractions.

LCM of 38,71,739 is 1993822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 855,273,835

GCF of Fractions 855/38,273/71,835/739 is 1/1993822

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

Greatest Common Factor of 855,273,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,273,835 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 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 855,273,835 . The biggest common factor number is the GCF number.
So the greatest common factor 855,273,835 is 1.

Lets's calculate LCM of 38,71,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 1993822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1993822

Therefore, the GCF of Fractions 855/38,273/71,835/739 is 1/1993822

Least Common Multiple of 38,71,739 with GCF Formula

Least Common Multiple of 38,71,739 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 38,71,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,71,739) = 1

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

GCF(38,71,739) x common factors =1 x 1 = 1

LCM(38,71,739) = ( 38 × 71 × 739 ) / 1

LCM(38,71,739) = 1993822 / 1

LCM(38,71,739) = 1993822


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 855/38, 273/71, 835/739

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 855/38, 273/71, 835/739?

Answer: GCF of Numerators as per given numbers 855/38, 273/71, 835/739 is

GCF of Numerators i.e. for 855,273,835 is 1

LCM of denominators i.e. for 38,71,739 is 1993822.

Thus, GCF of Fractions is 1/1993822.Finally, GCF of Fractions for 855/38, 273/71, 835/739 is 1/1993822.