Greatest Common Factor of 6407/27, 4437/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6407/27, 4437/611

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 6407/27,4437/611

Given fractions are 6407/27,4437/611

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 6407,4437

Greatest Common Factor of Numerators i.e. GCF of 6407,4437 is 1 .

LCM of Denominators means LCM of 27,611 as per the given fractions.

LCM of 27,611 is 16497 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6407,4437

GCF of Fractions 6407/27,4437/611 is 1/16497

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

Greatest Common Factor of 6407,4437 By Matching Biggest Common Factor Method

Greatest Common Factor of 6407,4437 By Matching Biggest Common Factor Method

Factors of 6407

List of positive integer factors of 6407 that divides 6407 without a remainder.

1,43,149,6407

Factors of 4437

List of positive integer factors of 4437 that divides 4437 without a remainder.

1,3,9,17,29,51,87,153,261,493,1479,4437

Greatest Common Factor

We found the factors 6407,4437 . The biggest common factor number is the GCF number.
So the greatest common factor 6407,4437 is 1.

Lets's calculate LCM of 27,611

Given numbers has no common factors except 1. So, there LCM is their product i.e 16497

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16497

Therefore, the GCF of Fractions 6407/27,4437/611 is 1/16497

Least Common Multiple of 27,611 with GCF Formula

Least Common Multiple of 27,611 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 27,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,611) = 1

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

GCF(27,611) x common factors =1 x 1 = 1

LCM(27,611) = ( 27 × 611 ) / 1

LCM(27,611) = 16497 / 1

LCM(27,611) = 16497


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 6407/27, 4437/611

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 6407/27, 4437/611?

Answer: GCF of Numerators as per given numbers 6407/27, 4437/611 is

GCF of Numerators i.e. for 6407,4437 is 1

LCM of denominators i.e. for 27,611 is 16497.

Thus, GCF of Fractions is 1/16497.Finally, GCF of Fractions for 6407/27, 4437/611 is 1/16497.