How to Find GCF of 2006/604, 4854/6436?

GCF of 2006/604, 4854/6436

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 2006/604, 4854/6436 i.e 2/971836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2006/604, 4854/6436.

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 2006/604,4854/6436?

Given fractions are 2006/604,4854/6436

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 2006/604,4854/6436, numerators are 2006,4854

Denominators are 604,6436

The GCF of 2006,4854 is 2 .

LCM of 604,6436 is 971836.

The greatest common factor of 2006/604,4854/6436 = [GCF of 2006,4854]/[LCM of 604,6436]= 2/971836

Therefore, the GCF of 2006/604,4854/6436 is 2/971836.

Greatest Common Factor of 2006,4854

To find the highest common factor of 2006,4854, we have to find the factors of both numbers and list the highest common factor.

The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006

The factors of 4854 are 1, 2, 3, 6, 809, 1618, 2427, 4854

The HCF of 2006,4854 is 2.

Lets's calculate GCF of 2006,4854

Greatest Common Factor (GCF) of 2006,4854 By Common Division

2	2006, 4854
	1003, 2427

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

Greatest Common Factor of 2006,4854 By Matching Biggest Common Factor Method

Now, list down the factors of 2006

1,2,17,34,59,118,1003,2006

Now, list down the factors of 4854

1,2,3,6,809,1618,2427,4854

Greatest Common Factor

We found the factors 2006,4854 . The biggest common factor number is the GCF number.
So the greatest common factor 2006,4854 is 2.

Lets's calculate LCM of 604,6436

Lowest Common Multiple of 604,6436 using Common Division

2	604, 6436
2	302, 3218
	151, 1609

∴ So the LCM of the given numbers is 2 x 2 x 151 x 1609 = 971836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/971836

Therefore, the GCF of Fractions 2006/604,4854/6436 is 2/971836

Least Common Multiple of 604,6436 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 604,6436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,6436) = 4

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

GCF(604,6436) x common factors =4 x 1 = 4

LCM(604,6436) = ( 604 × 6436 ) / 4

LCM(604,6436) = 3887344 / 4

LCM(604,6436) = 971836

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FAQs on GCF of Fractions of 2006/604, 4854/6436

1. What is the HCF of 2006,4854?

The HCF of 2006,4854 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 2006/604, 4854/6436?

Answer: GCF of Numerators as per given numbers 2006/604, 4854/6436 is

GCF of Numerators i.e. for 2006,4854 is 2

LCM of denominators i.e. for 604,6436 is 971836.

Thus, GCF of Fractions is 2/971836.Finally, GCF of Fractions for 2006/604, 4854/6436 is 2/971836.