How to Find GCF of 4042/178, 1678/8369?

GCF of 4042/178, 1678/8369

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 4042/178, 1678/8369 i.e 2/1489682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4042/178, 1678/8369.

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 4042/178,1678/8369?

Given fractions are 4042/178,1678/8369

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 4042/178,1678/8369, numerators are 4042,1678

Denominators are 178,8369

The GCF of 4042,1678 is 2 .

LCM of 178,8369 is 1489682.

The greatest common factor of 4042/178,1678/8369 = [GCF of 4042,1678]/[LCM of 178,8369]= 2/1489682

Therefore, the GCF of 4042/178,1678/8369 is 2/1489682.

Greatest Common Factor of 4042,1678

To find the highest common factor of 4042,1678, we have to find the factors of both numbers and list the highest common factor.

The factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042

The factors of 1678 are 1, 2, 839, 1678

The HCF of 4042,1678 is 2.

Lets's calculate GCF of 4042,1678

Greatest Common Factor (GCF) of 4042,1678 By Common Division

2	4042, 1678
	2021, 839

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

Greatest Common Factor of 4042,1678 By Matching Biggest Common Factor Method

Now, list down the factors of 4042

1,2,43,47,86,94,2021,4042

Now, list down the factors of 1678

1,2,839,1678

Greatest Common Factor

We found the factors 4042,1678 . The biggest common factor number is the GCF number.
So the greatest common factor 4042,1678 is 2.

Lets's calculate LCM of 178,8369

Lowest Common Multiple of 178,8369 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1489682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1489682

Therefore, the GCF of Fractions 4042/178,1678/8369 is 2/1489682

Least Common Multiple of 178,8369 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 178,8369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,8369) = 1

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

GCF(178,8369) x common factors =1 x 1 = 1

LCM(178,8369) = ( 178 × 8369 ) / 1

LCM(178,8369) = 1489682 / 1

LCM(178,8369) = 1489682

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FAQs on GCF of Fractions of 4042/178, 1678/8369

1. What is the HCF of 4042,1678?

The HCF of 4042,1678 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 4042/178, 1678/8369?

Answer: GCF of Numerators as per given numbers 4042/178, 1678/8369 is

GCF of Numerators i.e. for 4042,1678 is 2

LCM of denominators i.e. for 178,8369 is 1489682.

Thus, GCF of Fractions is 2/1489682.Finally, GCF of Fractions for 4042/178, 1678/8369 is 2/1489682.