Greatest Common Factor of 599/76, 331/66, 812/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 599/76, 331/66, 812/45

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 599/76,331/66,812/45

Given fractions are 599/76,331/66,812/45

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 599,331,812

Greatest Common Factor of Numerators i.e. GCF of 599,331,812 is 1 .

LCM of Denominators means LCM of 76,66,45 as per the given fractions.

LCM of 76,66,45 is 37620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 599,331,812

GCF of Fractions 599/76,331/66,812/45 is 1/37620

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

Greatest Common Factor of 599,331,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,331,812 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 599,331,812 . The biggest common factor number is the GCF number.
So the greatest common factor 599,331,812 is 1.

Lets's calculate LCM of 76,66,45

2 76, 66, 45
3 38, 33, 45
38, 11, 15

∴ So the LCM of the given numbers is 2 x 3 x 38 x 11 x 15 = 37620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37620

Therefore, the GCF of Fractions 599/76,331/66,812/45 is 1/37620

Least Common Multiple of 76,66,45 with GCF Formula

Least Common Multiple of 76,66,45 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 76,66,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,66,45) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(76,66,45) x common factors =1 x 6 = 6

LCM(76,66,45) = ( 76 × 66 × 45 ) / 6

LCM(76,66,45) = 225720 / 6

LCM(76,66,45) = 37620


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 599/76, 331/66, 812/45

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 599/76, 331/66, 812/45?

Answer: GCF of Numerators as per given numbers 599/76, 331/66, 812/45 is

GCF of Numerators i.e. for 599,331,812 is 1

LCM of denominators i.e. for 76,66,45 is 37620.

Thus, GCF of Fractions is 1/37620.Finally, GCF of Fractions for 599/76, 331/66, 812/45 is 1/37620.