How to Find GCF of 3284/168, 3406/1499?

GCF of 3284/168, 3406/1499

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 3284/168, 3406/1499 i.e 2/251832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3284/168, 3406/1499.

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 3284/168,3406/1499?

Given fractions are 3284/168,3406/1499

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 3284/168,3406/1499, numerators are 3284,3406

Denominators are 168,1499

The GCF of 3284,3406 is 2 .

LCM of 168,1499 is 251832.

The greatest common factor of 3284/168,3406/1499 = [GCF of 3284,3406]/[LCM of 168,1499]= 2/251832

Therefore, the GCF of 3284/168,3406/1499 is 2/251832.

Greatest Common Factor of 3284,3406

To find the highest common factor of 3284,3406, we have to find the factors of both numbers and list the highest common factor.

The factors of 3284 are 1, 2, 4, 821, 1642, 3284

The factors of 3406 are 1, 2, 13, 26, 131, 262, 1703, 3406

The HCF of 3284,3406 is 2.

Lets's calculate GCF of 3284,3406

Greatest Common Factor (GCF) of 3284,3406 By Common Division

2	3284, 3406
	1642, 1703

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3284,3406 By Matching Biggest Common Factor Method

Now, list down the factors of 3284

1,2,4,821,1642,3284

Now, list down the factors of 3406

1,2,13,26,131,262,1703,3406

Greatest Common Factor

We found the factors 3284,3406 . The biggest common factor number is the GCF number.
So the greatest common factor 3284,3406 is 2.

Lets's calculate LCM of 168,1499

Lowest Common Multiple of 168,1499 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 251832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/251832

Therefore, the GCF of Fractions 3284/168,3406/1499 is 2/251832

Least Common Multiple of 168,1499 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 168,1499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,1499) = 1

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

GCF(168,1499) x common factors =1 x 1 = 1

LCM(168,1499) = ( 168 × 1499 ) / 1

LCM(168,1499) = 251832 / 1

LCM(168,1499) = 251832

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3284/168, 3406/1499

1. What is the HCF of 3284,3406?

The HCF of 3284,3406 is 2

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 3284/168, 3406/1499?

Answer: GCF of Numerators as per given numbers 3284/168, 3406/1499 is

GCF of Numerators i.e. for 3284,3406 is 2

LCM of denominators i.e. for 168,1499 is 251832.

Thus, GCF of Fractions is 2/251832.Finally, GCF of Fractions for 3284/168, 3406/1499 is 2/251832.