Greatest Common Factor of 3/77, 24/66, 57/279, 216/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/77, 24/66, 57/279, 216/259

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 3/77,24/66,57/279,216/259

Given fractions are 3/77,24/66,57/279,216/259

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 3,24,57,216

Greatest Common Factor of Numerators i.e. GCF of 3,24,57,216 is 3 .

LCM of Denominators means LCM of 77,66,279,259 as per the given fractions.

LCM of 77,66,279,259 is 1589742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,24,57,216

GCF of Fractions 3/77,24/66,57/279,216/259 is 3/1589742

3 3, 24, 57, 216
1, 8, 19, 72

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

Greatest Common Factor of 3,24,57,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,24,57,216 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 3,24,57,216 . The biggest common factor number is the GCF number.
So the greatest common factor 3,24,57,216 is 3.

Lets's calculate LCM of 77,66,279,259

3 77, 66, 279, 259
7 77, 22, 93, 259
11 11, 22, 93, 37
1, 2, 93, 37

∴ So the LCM of the given numbers is 3 x 7 x 11 x 1 x 2 x 93 x 37 = 1589742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1589742

Therefore, the GCF of Fractions 3/77,24/66,57/279,216/259 is 3/1589742

Least Common Multiple of 77,66,279,259 with GCF Formula

Least Common Multiple of 77,66,279,259 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 77,66,279,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,66,279,259) = 1

common factors(in case of two or more numbers have common factors) = 231

GCF(77,66,279,259) x common factors =1 x 231 = 231

LCM(77,66,279,259) = ( 77 × 66 × 279 × 259 ) / 231

LCM(77,66,279,259) = 367230402 / 231

LCM(77,66,279,259) = 1589742


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 3/77, 24/66, 57/279, 216/259

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 3/77, 24/66, 57/279, 216/259?

Answer: GCF of Numerators as per given numbers 3/77, 24/66, 57/279, 216/259 is

GCF of Numerators i.e. for 3,24,57,216 is 3

LCM of denominators i.e. for 77,66,279,259 is 1589742.

Thus, GCF of Fractions is 3/1589742.Finally, GCF of Fractions for 3/77, 24/66, 57/279, 216/259 is 3/1589742.