Greatest Common Factor of 603/74, 283/75, 108/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 603/74, 283/75, 108/76

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 603/74,283/75,108/76

Given fractions are 603/74,283/75,108/76

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 603,283,108

Greatest Common Factor of Numerators i.e. GCF of 603,283,108 is 1 .

LCM of Denominators means LCM of 74,75,76 as per the given fractions.

LCM of 74,75,76 is 210900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 603,283,108

GCF of Fractions 603/74,283/75,108/76 is 1/210900

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

Greatest Common Factor of 603,283,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,283,108 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 603,283,108 . The biggest common factor number is the GCF number.
So the greatest common factor 603,283,108 is 1.

Lets's calculate LCM of 74,75,76

2 74, 75, 76
37, 75, 38

∴ So the LCM of the given numbers is 2 x 37 x 75 x 38 = 210900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210900

Therefore, the GCF of Fractions 603/74,283/75,108/76 is 1/210900

Least Common Multiple of 74,75,76 with GCF Formula

Least Common Multiple of 74,75,76 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 74,75,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,75,76) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,75,76) x common factors =1 x 2 = 2

LCM(74,75,76) = ( 74 × 75 × 76 ) / 2

LCM(74,75,76) = 421800 / 2

LCM(74,75,76) = 210900


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 603/74, 283/75, 108/76

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 603/74, 283/75, 108/76?

Answer: GCF of Numerators as per given numbers 603/74, 283/75, 108/76 is

GCF of Numerators i.e. for 603,283,108 is 1

LCM of denominators i.e. for 74,75,76 is 210900.

Thus, GCF of Fractions is 1/210900.Finally, GCF of Fractions for 603/74, 283/75, 108/76 is 1/210900.