Greatest Common Factor of 3867/892, 8700/3681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3867/892, 8700/3681

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 3867/892,8700/3681

Given fractions are 3867/892,8700/3681

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 3867,8700

Greatest Common Factor of Numerators i.e. GCF of 3867,8700 is 3 .

LCM of Denominators means LCM of 892,3681 as per the given fractions.

LCM of 892,3681 is 3283452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3867,8700

GCF of Fractions 3867/892,8700/3681 is 3/3283452

3 3867, 8700
1289, 2900

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

Greatest Common Factor of 3867,8700 By Matching Biggest Common Factor Method

Greatest Common Factor of 3867,8700 By Matching Biggest Common Factor Method

Factors of 3867

List of positive integer factors of 3867 that divides 3867 without a remainder.

1,3,1289,3867

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700

Greatest Common Factor

We found the factors 3867,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 3867,8700 is 3.

Lets's calculate LCM of 892,3681

Given numbers has no common factors except 1. So, there LCM is their product i.e 3283452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3283452

Therefore, the GCF of Fractions 3867/892,8700/3681 is 3/3283452

Least Common Multiple of 892,3681 with GCF Formula

Least Common Multiple of 892,3681 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 892,3681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,3681) = 1

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

GCF(892,3681) x common factors =1 x 1 = 1

LCM(892,3681) = ( 892 × 3681 ) / 1

LCM(892,3681) = 3283452 / 1

LCM(892,3681) = 3283452


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 3867/892, 8700/3681

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 3867/892, 8700/3681?

Answer: GCF of Numerators as per given numbers 3867/892, 8700/3681 is

GCF of Numerators i.e. for 3867,8700 is 3

LCM of denominators i.e. for 892,3681 is 3283452.

Thus, GCF of Fractions is 3/3283452.Finally, GCF of Fractions for 3867/892, 8700/3681 is 3/3283452.