Greatest Common Factor of 8842/73, 3075/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8842/73, 3075/876

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 8842/73,3075/876

Given fractions are 8842/73,3075/876

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 8842,3075

Greatest Common Factor of Numerators i.e. GCF of 8842,3075 is 1 .

LCM of Denominators means LCM of 73,876 as per the given fractions.

LCM of 73,876 is 876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8842,3075

GCF of Fractions 8842/73,3075/876 is 1/876

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

Greatest Common Factor of 8842,3075 By Matching Biggest Common Factor Method

Greatest Common Factor of 8842,3075 By Matching Biggest Common Factor Method

Factors of 8842

List of positive integer factors of 8842 that divides 8842 without a remainder.

1,2,4421,8842

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1,3,5,15,25,41,75,123,205,615,1025,3075

Greatest Common Factor

We found the factors 8842,3075 . The biggest common factor number is the GCF number.
So the greatest common factor 8842,3075 is 1.

Lets's calculate LCM of 73,876

73 73, 876
1, 12

∴ So the LCM of the given numbers is 73 x 1 x 12 = 876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/876

Therefore, the GCF of Fractions 8842/73,3075/876 is 1/876

Least Common Multiple of 73,876 with GCF Formula

Least Common Multiple of 73,876 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 73,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,876) = 73

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

GCF(73,876) x common factors =73 x 1 = 73

LCM(73,876) = ( 73 × 876 ) / 73

LCM(73,876) = 63948 / 73

LCM(73,876) = 876


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 8842/73, 3075/876

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 8842/73, 3075/876?

Answer: GCF of Numerators as per given numbers 8842/73, 3075/876 is

GCF of Numerators i.e. for 8842,3075 is 1

LCM of denominators i.e. for 73,876 is 876.

Thus, GCF of Fractions is 1/876.Finally, GCF of Fractions for 8842/73, 3075/876 is 1/876.