How to Find GCF of 3362/365, 3791/2458?

GCF of 3362/365, 3791/2458

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 3362/365, 3791/2458 i.e 1/897170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3362/365, 3791/2458.

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 3362/365,3791/2458?

Given fractions are 3362/365,3791/2458

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 3362/365,3791/2458, numerators are 3362,3791

Denominators are 365,2458

The GCF of 3362,3791 is 1 .

LCM of 365,2458 is 897170.

The greatest common factor of 3362/365,3791/2458 = [GCF of 3362,3791]/[LCM of 365,2458]= 1/897170

Therefore, the GCF of 3362/365,3791/2458 is 1/897170.

Greatest Common Factor of 3362,3791

To find the highest common factor of 3362,3791, we have to find the factors of both numbers and list the highest common factor.

The factors of 3362 are 1, 2, 41, 82, 1681, 3362

The factors of 3791 are 1, 17, 223, 3791

The HCF of 3362,3791 is 1.

Lets's calculate GCF of 3362,3791

Greatest Common Factor (GCF) of 3362,3791 By Common Division

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

Greatest Common Factor of 3362,3791 By Matching Biggest Common Factor Method

Now, list down the factors of 3362

1,2,41,82,1681,3362

Now, list down the factors of 3791

1,17,223,3791

Greatest Common Factor

We found the factors 3362,3791 . The biggest common factor number is the GCF number.
So the greatest common factor 3362,3791 is 1.

Lets's calculate LCM of 365,2458

Lowest Common Multiple of 365,2458 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 897170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/897170

Therefore, the GCF of Fractions 3362/365,3791/2458 is 1/897170

Least Common Multiple of 365,2458 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 365,2458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,2458) = 1

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

GCF(365,2458) x common factors =1 x 1 = 1

LCM(365,2458) = ( 365 × 2458 ) / 1

LCM(365,2458) = 897170 / 1

LCM(365,2458) = 897170

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FAQs on GCF of Fractions of 3362/365, 3791/2458

1. What is the HCF of 3362,3791?

The HCF of 3362,3791 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 3362/365, 3791/2458?

Answer: GCF of Numerators as per given numbers 3362/365, 3791/2458 is

GCF of Numerators i.e. for 3362,3791 is 1

LCM of denominators i.e. for 365,2458 is 897170.

Thus, GCF of Fractions is 1/897170.Finally, GCF of Fractions for 3362/365, 3791/2458 is 1/897170.