How to Find GCF of 2089/181, 1996/6335?

GCF of 2089/181, 1996/6335

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 2089/181, 1996/6335 i.e 1/6335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2089/181, 1996/6335.

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 2089/181,1996/6335?

Given fractions are 2089/181,1996/6335

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 2089/181,1996/6335, numerators are 2089,1996

Denominators are 181,6335

The GCF of 2089,1996 is 1 .

LCM of 181,6335 is 6335.

The greatest common factor of 2089/181,1996/6335 = [GCF of 2089,1996]/[LCM of 181,6335]= 1/6335

Therefore, the GCF of 2089/181,1996/6335 is 1/6335.

Greatest Common Factor of 2089,1996

To find the highest common factor of 2089,1996, 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 1996 are 1, 2, 4, 499, 998, 1996

The HCF of 2089,1996 is 1.

Lets's calculate GCF of 2089,1996

Greatest Common Factor (GCF) of 2089,1996 By Common Division

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

Greatest Common Factor of 2089,1996 By Matching Biggest Common Factor Method

Now, list down the factors of 2089

1,2089

Now, list down the factors of 1996

1,2,4,499,998,1996

Greatest Common Factor

We found the factors 2089,1996 . The biggest common factor number is the GCF number.
So the greatest common factor 2089,1996 is 1.

Lets's calculate LCM of 181,6335

Lowest Common Multiple of 181,6335 using Common Division

181	181, 6335
	1, 35

∴ So the LCM of the given numbers is 181 x 1 x 35 = 6335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6335

Therefore, the GCF of Fractions 2089/181,1996/6335 is 1/6335

Least Common Multiple of 181,6335 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 181,6335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,6335) = 181

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

GCF(181,6335) x common factors =181 x 1 = 181

LCM(181,6335) = ( 181 × 6335 ) / 181

LCM(181,6335) = 1146635 / 181

LCM(181,6335) = 6335

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2089/181, 1996/6335

1. What is the HCF of 2089,1996?

The HCF of 2089,1996 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 2089/181, 1996/6335?

Answer: GCF of Numerators as per given numbers 2089/181, 1996/6335 is

GCF of Numerators i.e. for 2089,1996 is 1

LCM of denominators i.e. for 181,6335 is 6335.

Thus, GCF of Fractions is 1/6335.Finally, GCF of Fractions for 2089/181, 1996/6335 is 1/6335.