Greatest Common Factor of 1/27, 64/80, 25/507, 623/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/27, 64/80, 25/507, 623/606

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 1/27,64/80,25/507,623/606

Given fractions are 1/27,64/80,25/507,623/606

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 1,64,25,623

Greatest Common Factor of Numerators i.e. GCF of 1,64,25,623 is 1 .

LCM of Denominators means LCM of 27,80,507,606 as per the given fractions.

LCM of 27,80,507,606 is 36869040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,64,25,623

GCF of Fractions 1/27,64/80,25/507,623/606 is 1/36869040

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

Greatest Common Factor of 1,64,25,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,64,25,623 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 1,64,25,623 . The biggest common factor number is the GCF number.
So the greatest common factor 1,64,25,623 is 1.

Lets's calculate LCM of 27,80,507,606

2 27, 80, 507, 606
3 27, 40, 507, 303
9, 40, 169, 101

∴ So the LCM of the given numbers is 2 x 3 x 9 x 40 x 169 x 101 = 36869040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36869040

Therefore, the GCF of Fractions 1/27,64/80,25/507,623/606 is 1/36869040

Least Common Multiple of 27,80,507,606 with GCF Formula

Least Common Multiple of 27,80,507,606 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 27,80,507,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,80,507,606) = 1

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

GCF(27,80,507,606) x common factors =1 x 18 = 18

LCM(27,80,507,606) = ( 27 × 80 × 507 × 606 ) / 18

LCM(27,80,507,606) = 663642720 / 18

LCM(27,80,507,606) = 36869040


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 1/27, 64/80, 25/507, 623/606

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 1/27, 64/80, 25/507, 623/606?

Answer: GCF of Numerators as per given numbers 1/27, 64/80, 25/507, 623/606 is

GCF of Numerators i.e. for 1,64,25,623 is 1

LCM of denominators i.e. for 27,80,507,606 is 36869040.

Thus, GCF of Fractions is 1/36869040.Finally, GCF of Fractions for 1/27, 64/80, 25/507, 623/606 is 1/36869040.