Greatest Common Factor of 2171/874, 6816/3135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2171/874, 6816/3135

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 2171/874,6816/3135

Given fractions are 2171/874,6816/3135

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 2171,6816

Greatest Common Factor of Numerators i.e. GCF of 2171,6816 is 1 .

LCM of Denominators means LCM of 874,3135 as per the given fractions.

LCM of 874,3135 is 144210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2171,6816

GCF of Fractions 2171/874,6816/3135 is 1/144210

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

Greatest Common Factor of 2171,6816 By Matching Biggest Common Factor Method

Greatest Common Factor of 2171,6816 By Matching Biggest Common Factor Method

Factors of 2171

List of positive integer factors of 2171 that divides 2171 without a remainder.

1,13,167,2171

Factors of 6816

List of positive integer factors of 6816 that divides 6816 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816

Greatest Common Factor

We found the factors 2171,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 2171,6816 is 1.

Lets's calculate LCM of 874,3135

19 874, 3135
46, 165

∴ So the LCM of the given numbers is 19 x 46 x 165 = 144210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144210

Therefore, the GCF of Fractions 2171/874,6816/3135 is 1/144210

Least Common Multiple of 874,3135 with GCF Formula

Least Common Multiple of 874,3135 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 874,3135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,3135) = 19

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

GCF(874,3135) x common factors =19 x 1 = 19

LCM(874,3135) = ( 874 × 3135 ) / 19

LCM(874,3135) = 2739990 / 19

LCM(874,3135) = 144210


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 2171/874, 6816/3135

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 2171/874, 6816/3135?

Answer: GCF of Numerators as per given numbers 2171/874, 6816/3135 is

GCF of Numerators i.e. for 2171,6816 is 1

LCM of denominators i.e. for 874,3135 is 144210.

Thus, GCF of Fractions is 1/144210.Finally, GCF of Fractions for 2171/874, 6816/3135 is 1/144210.