How to Find GCF of 1621/348, 3405/6264?

GCF of 1621/348, 3405/6264

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 1621/348, 3405/6264 i.e 1/6264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1621/348, 3405/6264.

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 1621/348,3405/6264?

Given fractions are 1621/348,3405/6264

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 1621/348,3405/6264, numerators are 1621,3405

Denominators are 348,6264

The GCF of 1621,3405 is 1 .

LCM of 348,6264 is 6264.

The greatest common factor of 1621/348,3405/6264 = [GCF of 1621,3405]/[LCM of 348,6264]= 1/6264

Therefore, the GCF of 1621/348,3405/6264 is 1/6264.

Greatest Common Factor of 1621,3405

To find the highest common factor of 1621,3405, we have to find the factors of both numbers and list the highest common factor.

The factors of 1621 are 1, 1621

The factors of 3405 are 1, 3, 5, 15, 227, 681, 1135, 3405

The HCF of 1621,3405 is 1.

Lets's calculate GCF of 1621,3405

Greatest Common Factor (GCF) of 1621,3405 By Common Division

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

Greatest Common Factor of 1621,3405 By Matching Biggest Common Factor Method

Now, list down the factors of 1621

1,1621

Now, list down the factors of 3405

1,3,5,15,227,681,1135,3405

Greatest Common Factor

We found the factors 1621,3405 . The biggest common factor number is the GCF number.
So the greatest common factor 1621,3405 is 1.

Lets's calculate LCM of 348,6264

Lowest Common Multiple of 348,6264 using Common Division

2	348, 6264
2	174, 3132
3	87, 1566
29	29, 522
	1, 18

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 1 x 18 = 6264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6264

Therefore, the GCF of Fractions 1621/348,3405/6264 is 1/6264

Least Common Multiple of 348,6264 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 348,6264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,6264) = 348

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

GCF(348,6264) x common factors =348 x 1 = 348

LCM(348,6264) = ( 348 × 6264 ) / 348

LCM(348,6264) = 2179872 / 348

LCM(348,6264) = 6264

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FAQs on GCF of Fractions of 1621/348, 3405/6264

1. What is the HCF of 1621,3405?

The HCF of 1621,3405 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 1621/348, 3405/6264?

Answer: GCF of Numerators as per given numbers 1621/348, 3405/6264 is

GCF of Numerators i.e. for 1621,3405 is 1

LCM of denominators i.e. for 348,6264 is 6264.

Thus, GCF of Fractions is 1/6264.Finally, GCF of Fractions for 1621/348, 3405/6264 is 1/6264.