Greatest Common Factor of 792/63, 612/66, 419/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 792/63, 612/66, 419/486

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 792/63,612/66,419/486

Given fractions are 792/63,612/66,419/486

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 792,612,419

Greatest Common Factor of Numerators i.e. GCF of 792,612,419 is 1 .

LCM of Denominators means LCM of 63,66,486 as per the given fractions.

LCM of 63,66,486 is 37422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 792,612,419

GCF of Fractions 792/63,612/66,419/486 is 1/37422

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

Greatest Common Factor of 792,612,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,612,419 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 792,612,419 . The biggest common factor number is the GCF number.
So the greatest common factor 792,612,419 is 1.

Lets's calculate LCM of 63,66,486

2 63, 66, 486
3 63, 33, 243
3 21, 11, 81
7, 11, 27

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 11 x 27 = 37422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37422

Therefore, the GCF of Fractions 792/63,612/66,419/486 is 1/37422

Least Common Multiple of 63,66,486 with GCF Formula

Least Common Multiple of 63,66,486 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 63,66,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,66,486) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(63,66,486) x common factors =3 x 18 = 54

LCM(63,66,486) = ( 63 × 66 × 486 ) / 54

LCM(63,66,486) = 2020788 / 54

LCM(63,66,486) = 37422


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 792/63, 612/66, 419/486

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 792/63, 612/66, 419/486?

Answer: GCF of Numerators as per given numbers 792/63, 612/66, 419/486 is

GCF of Numerators i.e. for 792,612,419 is 1

LCM of denominators i.e. for 63,66,486 is 37422.

Thus, GCF of Fractions is 1/37422.Finally, GCF of Fractions for 792/63, 612/66, 419/486 is 1/37422.