Greatest Common Factor of 74/106, 180/689, 590/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/106, 180/689, 590/333

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 74/106,180/689,590/333

Given fractions are 74/106,180/689,590/333

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 74,180,590

Greatest Common Factor of Numerators i.e. GCF of 74,180,590 is 2 .

LCM of Denominators means LCM of 106,689,333 as per the given fractions.

LCM of 106,689,333 is 458874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,180,590

GCF of Fractions 74/106,180/689,590/333 is 2/458874

2 74, 180, 590
37, 90, 295

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 74,180,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,180,590 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 74,180,590 . The biggest common factor number is the GCF number.
So the greatest common factor 74,180,590 is 2.

Lets's calculate LCM of 106,689,333

53 106, 689, 333
2, 13, 333

∴ So the LCM of the given numbers is 53 x 2 x 13 x 333 = 458874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/458874

Therefore, the GCF of Fractions 74/106,180/689,590/333 is 2/458874

Least Common Multiple of 106,689,333 with GCF Formula

Least Common Multiple of 106,689,333 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 106,689,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,689,333) = 1

common factors(in case of two or more numbers have common factors) = 53

GCF(106,689,333) x common factors =1 x 53 = 53

LCM(106,689,333) = ( 106 × 689 × 333 ) / 53

LCM(106,689,333) = 24320322 / 53

LCM(106,689,333) = 458874


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 74/106, 180/689, 590/333

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 74/106, 180/689, 590/333?

Answer: GCF of Numerators as per given numbers 74/106, 180/689, 590/333 is

GCF of Numerators i.e. for 74,180,590 is 2

LCM of denominators i.e. for 106,689,333 is 458874.

Thus, GCF of Fractions is 2/458874.Finally, GCF of Fractions for 74/106, 180/689, 590/333 is 2/458874.