Greatest Common Factor of 6382/120, 7103/8625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6382/120, 7103/8625

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 6382/120,7103/8625

Given fractions are 6382/120,7103/8625

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 6382,7103

Greatest Common Factor of Numerators i.e. GCF of 6382,7103 is 1 .

LCM of Denominators means LCM of 120,8625 as per the given fractions.

LCM of 120,8625 is 69000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6382,7103

GCF of Fractions 6382/120,7103/8625 is 1/69000

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

Greatest Common Factor of 6382,7103 By Matching Biggest Common Factor Method

Greatest Common Factor of 6382,7103 By Matching Biggest Common Factor Method

Factors of 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1,2,3191,6382

Factors of 7103

List of positive integer factors of 7103 that divides 7103 without a remainder.

1,7103

Greatest Common Factor

We found the factors 6382,7103 . The biggest common factor number is the GCF number.
So the greatest common factor 6382,7103 is 1.

Lets's calculate LCM of 120,8625

3 120, 8625
5 40, 2875
8, 575

∴ So the LCM of the given numbers is 3 x 5 x 8 x 575 = 69000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69000

Therefore, the GCF of Fractions 6382/120,7103/8625 is 1/69000

Least Common Multiple of 120,8625 with GCF Formula

Least Common Multiple of 120,8625 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 120,8625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,8625) = 15

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

GCF(120,8625) x common factors =15 x 1 = 15

LCM(120,8625) = ( 120 × 8625 ) / 15

LCM(120,8625) = 1035000 / 15

LCM(120,8625) = 69000


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 6382/120, 7103/8625

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 6382/120, 7103/8625?

Answer: GCF of Numerators as per given numbers 6382/120, 7103/8625 is

GCF of Numerators i.e. for 6382,7103 is 1

LCM of denominators i.e. for 120,8625 is 69000.

Thus, GCF of Fractions is 1/69000.Finally, GCF of Fractions for 6382/120, 7103/8625 is 1/69000.