Greatest Common Factor of 1677/43, 6882/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1677/43, 6882/891

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 1677/43,6882/891

Given fractions are 1677/43,6882/891

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 1677,6882

Greatest Common Factor of Numerators i.e. GCF of 1677,6882 is 3 .

LCM of Denominators means LCM of 43,891 as per the given fractions.

LCM of 43,891 is 38313 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1677,6882

GCF of Fractions 1677/43,6882/891 is 3/38313

3 1677, 6882
559, 2294

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1677,6882 By Matching Biggest Common Factor Method

Greatest Common Factor of 1677,6882 By Matching Biggest Common Factor Method

Factors of 1677

List of positive integer factors of 1677 that divides 1677 without a remainder.

1,3,13,39,43,129,559,1677

Factors of 6882

List of positive integer factors of 6882 that divides 6882 without a remainder.

1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882

Greatest Common Factor

We found the factors 1677,6882 . The biggest common factor number is the GCF number.
So the greatest common factor 1677,6882 is 3.

Lets's calculate LCM of 43,891

Given numbers has no common factors except 1. So, there LCM is their product i.e 38313

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38313

Therefore, the GCF of Fractions 1677/43,6882/891 is 3/38313

Least Common Multiple of 43,891 with GCF Formula

Least Common Multiple of 43,891 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 43,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,891) = 1

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

GCF(43,891) x common factors =1 x 1 = 1

LCM(43,891) = ( 43 × 891 ) / 1

LCM(43,891) = 38313 / 1

LCM(43,891) = 38313


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 1677/43, 6882/891

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 1677/43, 6882/891?

Answer: GCF of Numerators as per given numbers 1677/43, 6882/891 is

GCF of Numerators i.e. for 1677,6882 is 3

LCM of denominators i.e. for 43,891 is 38313.

Thus, GCF of Fractions is 3/38313.Finally, GCF of Fractions for 1677/43, 6882/891 is 3/38313.