How to Find GCF of 3004/208, 8434/2818?

GCF of 3004/208, 8434/2818

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 3004/208, 8434/2818 i.e 2/293072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3004/208, 8434/2818.

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 3004/208,8434/2818?

Given fractions are 3004/208,8434/2818

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 3004/208,8434/2818, numerators are 3004,8434

Denominators are 208,2818

The GCF of 3004,8434 is 2 .

LCM of 208,2818 is 293072.

The greatest common factor of 3004/208,8434/2818 = [GCF of 3004,8434]/[LCM of 208,2818]= 2/293072

Therefore, the GCF of 3004/208,8434/2818 is 2/293072.

Greatest Common Factor of 3004,8434

To find the highest common factor of 3004,8434, we have to find the factors of both numbers and list the highest common factor.

The factors of 3004 are 1, 2, 4, 751, 1502, 3004

The factors of 8434 are 1, 2, 4217, 8434

The HCF of 3004,8434 is 2.

Lets's calculate GCF of 3004,8434

Greatest Common Factor (GCF) of 3004,8434 By Common Division

2	3004, 8434
	1502, 4217

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

Greatest Common Factor of 3004,8434 By Matching Biggest Common Factor Method

Now, list down the factors of 3004

1,2,4,751,1502,3004

Now, list down the factors of 8434

1,2,4217,8434

Greatest Common Factor

We found the factors 3004,8434 . The biggest common factor number is the GCF number.
So the greatest common factor 3004,8434 is 2.

Lets's calculate LCM of 208,2818

Lowest Common Multiple of 208,2818 using Common Division

2	208, 2818
	104, 1409

∴ So the LCM of the given numbers is 2 x 104 x 1409 = 293072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/293072

Therefore, the GCF of Fractions 3004/208,8434/2818 is 2/293072

Least Common Multiple of 208,2818 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 208,2818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,2818) = 2

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

GCF(208,2818) x common factors =2 x 1 = 2

LCM(208,2818) = ( 208 × 2818 ) / 2

LCM(208,2818) = 586144 / 2

LCM(208,2818) = 293072

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FAQs on GCF of Fractions of 3004/208, 8434/2818

1. What is the HCF of 3004,8434?

The HCF of 3004,8434 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 3004/208, 8434/2818?

Answer: GCF of Numerators as per given numbers 3004/208, 8434/2818 is

GCF of Numerators i.e. for 3004,8434 is 2

LCM of denominators i.e. for 208,2818 is 293072.

Thus, GCF of Fractions is 2/293072.Finally, GCF of Fractions for 3004/208, 8434/2818 is 2/293072.