Greatest Common Factor of 799/61, 307/33, 765/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 799/61, 307/33, 765/22

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 799/61,307/33,765/22

Given fractions are 799/61,307/33,765/22

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 799,307,765

Greatest Common Factor of Numerators i.e. GCF of 799,307,765 is 1 .

LCM of Denominators means LCM of 61,33,22 as per the given fractions.

LCM of 61,33,22 is 4026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 799,307,765

GCF of Fractions 799/61,307/33,765/22 is 1/4026

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

Greatest Common Factor of 799,307,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,307,765 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 799,307,765 . The biggest common factor number is the GCF number.
So the greatest common factor 799,307,765 is 1.

Lets's calculate LCM of 61,33,22

11 61, 33, 22
61, 3, 2

∴ So the LCM of the given numbers is 11 x 61 x 3 x 2 = 4026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4026

Therefore, the GCF of Fractions 799/61,307/33,765/22 is 1/4026

Least Common Multiple of 61,33,22 with GCF Formula

Least Common Multiple of 61,33,22 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 61,33,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,33,22) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(61,33,22) x common factors =1 x 11 = 11

LCM(61,33,22) = ( 61 × 33 × 22 ) / 11

LCM(61,33,22) = 44286 / 11

LCM(61,33,22) = 4026


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 799/61, 307/33, 765/22

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 799/61, 307/33, 765/22?

Answer: GCF of Numerators as per given numbers 799/61, 307/33, 765/22 is

GCF of Numerators i.e. for 799,307,765 is 1

LCM of denominators i.e. for 61,33,22 is 4026.

Thus, GCF of Fractions is 1/4026.Finally, GCF of Fractions for 799/61, 307/33, 765/22 is 1/4026.