Greatest Common Factor of 798/71, 172/27, 886/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/71, 172/27, 886/35

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 798/71,172/27,886/35

Given fractions are 798/71,172/27,886/35

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 798,172,886

Greatest Common Factor of Numerators i.e. GCF of 798,172,886 is 2 .

LCM of Denominators means LCM of 71,27,35 as per the given fractions.

LCM of 71,27,35 is 67095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,172,886

GCF of Fractions 798/71,172/27,886/35 is 2/67095

2 798, 172, 886
399, 86, 443

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

Greatest Common Factor of 798,172,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,172,886 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 798,172,886 . The biggest common factor number is the GCF number.
So the greatest common factor 798,172,886 is 2.

Lets's calculate LCM of 71,27,35

Given numbers has no common factors except 1. So, there LCM is their product i.e 67095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67095

Therefore, the GCF of Fractions 798/71,172/27,886/35 is 2/67095

Least Common Multiple of 71,27,35 with GCF Formula

Least Common Multiple of 71,27,35 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 71,27,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,27,35) = 1

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

GCF(71,27,35) x common factors =1 x 1 = 1

LCM(71,27,35) = ( 71 × 27 × 35 ) / 1

LCM(71,27,35) = 67095 / 1

LCM(71,27,35) = 67095


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 798/71, 172/27, 886/35

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 798/71, 172/27, 886/35?

Answer: GCF of Numerators as per given numbers 798/71, 172/27, 886/35 is

GCF of Numerators i.e. for 798,172,886 is 2

LCM of denominators i.e. for 71,27,35 is 67095.

Thus, GCF of Fractions is 2/67095.Finally, GCF of Fractions for 798/71, 172/27, 886/35 is 2/67095.