How to Find GCF of 2089/733, 6446/9791?

GCF of 2089/733, 6446/9791

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 2089/733, 6446/9791 i.e 1/7176803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2089/733, 6446/9791.

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 2089/733,6446/9791?

Given fractions are 2089/733,6446/9791

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 2089/733,6446/9791, numerators are 2089,6446

Denominators are 733,9791

The GCF of 2089,6446 is 1 .

LCM of 733,9791 is 7176803.

The greatest common factor of 2089/733,6446/9791 = [GCF of 2089,6446]/[LCM of 733,9791]= 1/7176803

Therefore, the GCF of 2089/733,6446/9791 is 1/7176803.

Greatest Common Factor of 2089,6446

To find the highest common factor of 2089,6446, we have to find the factors of both numbers and list the highest common factor.

The factors of 2089 are 1, 2089

The factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446

The HCF of 2089,6446 is 1.

Lets's calculate GCF of 2089,6446

Greatest Common Factor (GCF) of 2089,6446 By Common Division

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

Greatest Common Factor of 2089,6446 By Matching Biggest Common Factor Method

Now, list down the factors of 2089

1,2089

Now, list down the factors of 6446

1,2,11,22,293,586,3223,6446

Greatest Common Factor

We found the factors 2089,6446 . The biggest common factor number is the GCF number.
So the greatest common factor 2089,6446 is 1.

Lets's calculate LCM of 733,9791

Lowest Common Multiple of 733,9791 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7176803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7176803

Therefore, the GCF of Fractions 2089/733,6446/9791 is 1/7176803

Least Common Multiple of 733,9791 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 733,9791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,9791) = 1

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

GCF(733,9791) x common factors =1 x 1 = 1

LCM(733,9791) = ( 733 × 9791 ) / 1

LCM(733,9791) = 7176803 / 1

LCM(733,9791) = 7176803

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FAQs on GCF of Fractions of 2089/733, 6446/9791

1. What is the HCF of 2089,6446?

The HCF of 2089,6446 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 2089/733, 6446/9791?

Answer: GCF of Numerators as per given numbers 2089/733, 6446/9791 is

GCF of Numerators i.e. for 2089,6446 is 1

LCM of denominators i.e. for 733,9791 is 7176803.

Thus, GCF of Fractions is 1/7176803.Finally, GCF of Fractions for 2089/733, 6446/9791 is 1/7176803.