How to Find GCF of 6672/666, 2593/137?

GCF of 6672/666, 2593/137

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6672/666, 2593/137 i.e 1/91242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6672/666, 2593/137.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6672/666,2593/137?

Given fractions are 6672/666,2593/137

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6672/666,2593/137, numerators are 6672,2593

Denominators are 666,137

The GCF of 6672,2593 is 1 .

LCM of 666,137 is 91242.

The greatest common factor of 6672/666,2593/137 = [GCF of 6672,2593]/[LCM of 666,137]= 1/91242

Therefore, the GCF of 6672/666,2593/137 is 1/91242.

Greatest Common Factor of 6672,2593

To find the highest common factor of 6672,2593, we have to find the factors of both numbers and list the highest common factor.

The factors of 6672 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 6672

The factors of 2593 are 1, 2593

The HCF of 6672,2593 is 1.

Lets's calculate GCF of 6672,2593

Greatest Common Factor (GCF) of 6672,2593 By Common Division

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

Greatest Common Factor of 6672,2593 By Matching Biggest Common Factor Method

Now, list down the factors of 6672

1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672

Now, list down the factors of 2593

1,2593

Greatest Common Factor

We found the factors 6672,2593 . The biggest common factor number is the GCF number.
So the greatest common factor 6672,2593 is 1.

Lets's calculate LCM of 666,137

Lowest Common Multiple of 666,137 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 91242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91242

Therefore, the GCF of Fractions 6672/666,2593/137 is 1/91242

Least Common Multiple of 666,137 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 666,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,137) = 1

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

GCF(666,137) x common factors =1 x 1 = 1

LCM(666,137) = ( 666 × 137 ) / 1

LCM(666,137) = 91242 / 1

LCM(666,137) = 91242

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6672/666, 2593/137

1. What is the HCF of 6672,2593?

The HCF of 6672,2593 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 6672/666, 2593/137?

Answer: GCF of Numerators as per given numbers 6672/666, 2593/137 is

GCF of Numerators i.e. for 6672,2593 is 1

LCM of denominators i.e. for 666,137 is 91242.

Thus, GCF of Fractions is 1/91242.Finally, GCF of Fractions for 6672/666, 2593/137 is 1/91242.