Greatest Common Factor of 27/790, 641/128, 245/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/790, 641/128, 245/601

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 27/790,641/128,245/601

Given fractions are 27/790,641/128,245/601

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 27,641,245

Greatest Common Factor of Numerators i.e. GCF of 27,641,245 is 1 .

LCM of Denominators means LCM of 790,128,601 as per the given fractions.

LCM of 790,128,601 is 30386560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,641,245

GCF of Fractions 27/790,641/128,245/601 is 1/30386560

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

Greatest Common Factor of 27,641,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,641,245 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 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 27,641,245 . The biggest common factor number is the GCF number.
So the greatest common factor 27,641,245 is 1.

Lets's calculate LCM of 790,128,601

2 790, 128, 601
395, 64, 601

∴ So the LCM of the given numbers is 2 x 395 x 64 x 601 = 30386560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30386560

Therefore, the GCF of Fractions 27/790,641/128,245/601 is 1/30386560

Least Common Multiple of 790,128,601 with GCF Formula

Least Common Multiple of 790,128,601 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 790,128,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,128,601) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(790,128,601) x common factors =1 x 2 = 2

LCM(790,128,601) = ( 790 × 128 × 601 ) / 2

LCM(790,128,601) = 60773120 / 2

LCM(790,128,601) = 30386560


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 27/790, 641/128, 245/601

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 27/790, 641/128, 245/601?

Answer: GCF of Numerators as per given numbers 27/790, 641/128, 245/601 is

GCF of Numerators i.e. for 27,641,245 is 1

LCM of denominators i.e. for 790,128,601 is 30386560.

Thus, GCF of Fractions is 1/30386560.Finally, GCF of Fractions for 27/790, 641/128, 245/601 is 1/30386560.