Greatest Common Factor of 8442/842, 7213/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8442/842, 7213/875

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 8442/842,7213/875

Given fractions are 8442/842,7213/875

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 8442,7213

Greatest Common Factor of Numerators i.e. GCF of 8442,7213 is 1 .

LCM of Denominators means LCM of 842,875 as per the given fractions.

LCM of 842,875 is 736750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8442,7213

GCF of Fractions 8442/842,7213/875 is 1/736750

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

Greatest Common Factor of 8442,7213 By Matching Biggest Common Factor Method

Greatest Common Factor of 8442,7213 By Matching Biggest Common Factor Method

Factors of 8442

List of positive integer factors of 8442 that divides 8442 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442

Factors of 7213

List of positive integer factors of 7213 that divides 7213 without a remainder.

1,7213

Greatest Common Factor

We found the factors 8442,7213 . The biggest common factor number is the GCF number.
So the greatest common factor 8442,7213 is 1.

Lets's calculate LCM of 842,875

Given numbers has no common factors except 1. So, there LCM is their product i.e 736750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/736750

Therefore, the GCF of Fractions 8442/842,7213/875 is 1/736750

Least Common Multiple of 842,875 with GCF Formula

Least Common Multiple of 842,875 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 842,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,875) = 1

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

GCF(842,875) x common factors =1 x 1 = 1

LCM(842,875) = ( 842 × 875 ) / 1

LCM(842,875) = 736750 / 1

LCM(842,875) = 736750


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 8442/842, 7213/875

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 8442/842, 7213/875?

Answer: GCF of Numerators as per given numbers 8442/842, 7213/875 is

GCF of Numerators i.e. for 8442,7213 is 1

LCM of denominators i.e. for 842,875 is 736750.

Thus, GCF of Fractions is 1/736750.Finally, GCF of Fractions for 8442/842, 7213/875 is 1/736750.