Greatest Common Factor of 792/61, 255/1629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 792/61, 255/1629

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 792/61,255/1629

Given fractions are 792/61,255/1629

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 792,255

Greatest Common Factor of Numerators i.e. GCF of 792,255 is 3 .

LCM of Denominators means LCM of 61,1629 as per the given fractions.

LCM of 61,1629 is 99369 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 792,255

GCF of Fractions 792/61,255/1629 is 3/99369

3 792, 255
264, 85

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 792,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,255 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 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 792,255 . The biggest common factor number is the GCF number.
So the greatest common factor 792,255 is 3.

Lets's calculate LCM of 61,1629

Given numbers has no common factors except 1. So, there LCM is their product i.e 99369

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/99369

Therefore, the GCF of Fractions 792/61,255/1629 is 3/99369

Least Common Multiple of 61,1629 with GCF Formula

Least Common Multiple of 61,1629 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 61,1629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,1629) = 1

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

GCF(61,1629) x common factors =1 x 1 = 1

LCM(61,1629) = ( 61 × 1629 ) / 1

LCM(61,1629) = 99369 / 1

LCM(61,1629) = 99369


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 792/61, 255/1629

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 792/61, 255/1629?

Answer: GCF of Numerators as per given numbers 792/61, 255/1629 is

GCF of Numerators i.e. for 792,255 is 3

LCM of denominators i.e. for 61,1629 is 99369.

Thus, GCF of Fractions is 3/99369.Finally, GCF of Fractions for 792/61, 255/1629 is 3/99369.