Greatest Common Factor of 6876/525, 2016/4169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6876/525, 2016/4169

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 6876/525,2016/4169

Given fractions are 6876/525,2016/4169

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 6876,2016

Greatest Common Factor of Numerators i.e. GCF of 6876,2016 is 36 .

LCM of Denominators means LCM of 525,4169 as per the given fractions.

LCM of 525,4169 is 2188725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6876,2016

GCF of Fractions 6876/525,2016/4169 is 36/2188725

2 6876, 2016
2 3438, 1008
3 1719, 504
3 573, 168
191, 56

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 6876,2016 By Matching Biggest Common Factor Method

Greatest Common Factor of 6876,2016 By Matching Biggest Common Factor Method

Factors of 6876

List of positive integer factors of 6876 that divides 6876 without a remainder.

1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876

Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016

Greatest Common Factor

We found the factors 6876,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 6876,2016 is 36.

Lets's calculate LCM of 525,4169

Given numbers has no common factors except 1. So, there LCM is their product i.e 2188725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/2188725

Therefore, the GCF of Fractions 6876/525,2016/4169 is 36/2188725

Least Common Multiple of 525,4169 with GCF Formula

Least Common Multiple of 525,4169 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 525,4169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,4169) = 1

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

GCF(525,4169) x common factors =1 x 1 = 1

LCM(525,4169) = ( 525 × 4169 ) / 1

LCM(525,4169) = 2188725 / 1

LCM(525,4169) = 2188725


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 6876/525, 2016/4169

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 6876/525, 2016/4169?

Answer: GCF of Numerators as per given numbers 6876/525, 2016/4169 is

GCF of Numerators i.e. for 6876,2016 is 36

LCM of denominators i.e. for 525,4169 is 2188725.

Thus, GCF of Fractions is 36/2188725.Finally, GCF of Fractions for 6876/525, 2016/4169 is 36/2188725.