Greatest Common Factor of 27/68, 714/61, 777/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/68, 714/61, 777/509

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 27/68,714/61,777/509

Given fractions are 27/68,714/61,777/509

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 27,714,777

Greatest Common Factor of Numerators i.e. GCF of 27,714,777 is 3 .

LCM of Denominators means LCM of 68,61,509 as per the given fractions.

LCM of 68,61,509 is 2111332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,714,777

GCF of Fractions 27/68,714/61,777/509 is 3/2111332

3 27, 714, 777
9, 238, 259

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

Greatest Common Factor of 27,714,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,714,777 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 27,714,777 . The biggest common factor number is the GCF number.
So the greatest common factor 27,714,777 is 3.

Lets's calculate LCM of 68,61,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 2111332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2111332

Therefore, the GCF of Fractions 27/68,714/61,777/509 is 3/2111332

Least Common Multiple of 68,61,509 with GCF Formula

Least Common Multiple of 68,61,509 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 68,61,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,61,509) = 1

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

GCF(68,61,509) x common factors =1 x 1 = 1

LCM(68,61,509) = ( 68 × 61 × 509 ) / 1

LCM(68,61,509) = 2111332 / 1

LCM(68,61,509) = 2111332


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 27/68, 714/61, 777/509

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 27/68, 714/61, 777/509?

Answer: GCF of Numerators as per given numbers 27/68, 714/61, 777/509 is

GCF of Numerators i.e. for 27,714,777 is 3

LCM of denominators i.e. for 68,61,509 is 2111332.

Thus, GCF of Fractions is 3/2111332.Finally, GCF of Fractions for 27/68, 714/61, 777/509 is 3/2111332.