How to Find GCF of 2349/296, 4021/3409?

GCF of 2349/296, 4021/3409

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 2349/296, 4021/3409 i.e 1/1009064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2349/296, 4021/3409.

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 2349/296,4021/3409?

Given fractions are 2349/296,4021/3409

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 2349/296,4021/3409, numerators are 2349,4021

Denominators are 296,3409

The GCF of 2349,4021 is 1 .

LCM of 296,3409 is 1009064.

The greatest common factor of 2349/296,4021/3409 = [GCF of 2349,4021]/[LCM of 296,3409]= 1/1009064

Therefore, the GCF of 2349/296,4021/3409 is 1/1009064.

Greatest Common Factor of 2349,4021

To find the highest common factor of 2349,4021, we have to find the factors of both numbers and list the highest common factor.

The factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349

The factors of 4021 are 1, 4021

The HCF of 2349,4021 is 1.

Lets's calculate GCF of 2349,4021

Greatest Common Factor (GCF) of 2349,4021 By Common Division

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

Greatest Common Factor of 2349,4021 By Matching Biggest Common Factor Method

Now, list down the factors of 2349

1,3,9,27,29,81,87,261,783,2349

Now, list down the factors of 4021

1,4021

Greatest Common Factor

We found the factors 2349,4021 . The biggest common factor number is the GCF number.
So the greatest common factor 2349,4021 is 1.

Lets's calculate LCM of 296,3409

Lowest Common Multiple of 296,3409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1009064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1009064

Therefore, the GCF of Fractions 2349/296,4021/3409 is 1/1009064

Least Common Multiple of 296,3409 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 296,3409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,3409) = 1

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

GCF(296,3409) x common factors =1 x 1 = 1

LCM(296,3409) = ( 296 × 3409 ) / 1

LCM(296,3409) = 1009064 / 1

LCM(296,3409) = 1009064

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FAQs on GCF of Fractions of 2349/296, 4021/3409

1. What is the HCF of 2349,4021?

The HCF of 2349,4021 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 2349/296, 4021/3409?

Answer: GCF of Numerators as per given numbers 2349/296, 4021/3409 is

GCF of Numerators i.e. for 2349,4021 is 1

LCM of denominators i.e. for 296,3409 is 1009064.

Thus, GCF of Fractions is 1/1009064.Finally, GCF of Fractions for 2349/296, 4021/3409 is 1/1009064.