Greatest Common Factor of 8142/390, 1283/7503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8142/390, 1283/7503

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 8142/390,1283/7503

Given fractions are 8142/390,1283/7503

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 8142,1283

Greatest Common Factor of Numerators i.e. GCF of 8142,1283 is 1 .

LCM of Denominators means LCM of 390,7503 as per the given fractions.

LCM of 390,7503 is 975390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8142,1283

GCF of Fractions 8142/390,1283/7503 is 1/975390

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

Greatest Common Factor of 8142,1283 By Matching Biggest Common Factor Method

Greatest Common Factor of 8142,1283 By Matching Biggest Common Factor Method

Factors of 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Factors of 1283

List of positive integer factors of 1283 that divides 1283 without a remainder.

1,1283

Greatest Common Factor

We found the factors 8142,1283 . The biggest common factor number is the GCF number.
So the greatest common factor 8142,1283 is 1.

Lets's calculate LCM of 390,7503

3 390, 7503
130, 2501

∴ So the LCM of the given numbers is 3 x 130 x 2501 = 975390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975390

Therefore, the GCF of Fractions 8142/390,1283/7503 is 1/975390

Least Common Multiple of 390,7503 with GCF Formula

Least Common Multiple of 390,7503 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 390,7503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,7503) = 3

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

GCF(390,7503) x common factors =3 x 1 = 3

LCM(390,7503) = ( 390 × 7503 ) / 3

LCM(390,7503) = 2926170 / 3

LCM(390,7503) = 975390


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 8142/390, 1283/7503

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 8142/390, 1283/7503?

Answer: GCF of Numerators as per given numbers 8142/390, 1283/7503 is

GCF of Numerators i.e. for 8142,1283 is 1

LCM of denominators i.e. for 390,7503 is 975390.

Thus, GCF of Fractions is 1/975390.Finally, GCF of Fractions for 8142/390, 1283/7503 is 1/975390.