How to Find GCF of 4457/341, 3401/1589?

GCF of 4457/341, 3401/1589

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 4457/341, 3401/1589 i.e 1/541849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4457/341, 3401/1589.

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 4457/341,3401/1589?

Given fractions are 4457/341,3401/1589

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 4457/341,3401/1589, numerators are 4457,3401

Denominators are 341,1589

The GCF of 4457,3401 is 1 .

LCM of 341,1589 is 541849.

The greatest common factor of 4457/341,3401/1589 = [GCF of 4457,3401]/[LCM of 341,1589]= 1/541849

Therefore, the GCF of 4457/341,3401/1589 is 1/541849.

Greatest Common Factor of 4457,3401

To find the highest common factor of 4457,3401, we have to find the factors of both numbers and list the highest common factor.

The factors of 4457 are 1, 4457

The factors of 3401 are 1, 19, 179, 3401

The HCF of 4457,3401 is 1.

Lets's calculate GCF of 4457,3401

Greatest Common Factor (GCF) of 4457,3401 By Common Division

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

Greatest Common Factor of 4457,3401 By Matching Biggest Common Factor Method

Now, list down the factors of 4457

1,4457

Now, list down the factors of 3401

1,19,179,3401

Greatest Common Factor

We found the factors 4457,3401 . The biggest common factor number is the GCF number.
So the greatest common factor 4457,3401 is 1.

Lets's calculate LCM of 341,1589

Lowest Common Multiple of 341,1589 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 541849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541849

Therefore, the GCF of Fractions 4457/341,3401/1589 is 1/541849

Least Common Multiple of 341,1589 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 341,1589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,1589) = 1

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

GCF(341,1589) x common factors =1 x 1 = 1

LCM(341,1589) = ( 341 × 1589 ) / 1

LCM(341,1589) = 541849 / 1

LCM(341,1589) = 541849

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FAQs on GCF of Fractions of 4457/341, 3401/1589

1. What is the HCF of 4457,3401?

The HCF of 4457,3401 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 4457/341, 3401/1589?

Answer: GCF of Numerators as per given numbers 4457/341, 3401/1589 is

GCF of Numerators i.e. for 4457,3401 is 1

LCM of denominators i.e. for 341,1589 is 541849.

Thus, GCF of Fractions is 1/541849.Finally, GCF of Fractions for 4457/341, 3401/1589 is 1/541849.