How to Find GCF of 2722/404, 8542/1776?

GCF of 2722/404, 8542/1776

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 2722/404, 8542/1776 i.e 2/179376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2722/404, 8542/1776.

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 2722/404,8542/1776?

Given fractions are 2722/404,8542/1776

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 2722/404,8542/1776, numerators are 2722,8542

Denominators are 404,1776

The GCF of 2722,8542 is 2 .

LCM of 404,1776 is 179376.

The greatest common factor of 2722/404,8542/1776 = [GCF of 2722,8542]/[LCM of 404,1776]= 2/179376

Therefore, the GCF of 2722/404,8542/1776 is 2/179376.

Greatest Common Factor of 2722,8542

To find the highest common factor of 2722,8542, we have to find the factors of both numbers and list the highest common factor.

The factors of 2722 are 1, 2, 1361, 2722

The factors of 8542 are 1, 2, 4271, 8542

The HCF of 2722,8542 is 2.

Lets's calculate GCF of 2722,8542

Greatest Common Factor (GCF) of 2722,8542 By Common Division

2	2722, 8542
	1361, 4271

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

Greatest Common Factor of 2722,8542 By Matching Biggest Common Factor Method

Now, list down the factors of 2722

1,2,1361,2722

Now, list down the factors of 8542

1,2,4271,8542

Greatest Common Factor

We found the factors 2722,8542 . The biggest common factor number is the GCF number.
So the greatest common factor 2722,8542 is 2.

Lets's calculate LCM of 404,1776

Lowest Common Multiple of 404,1776 using Common Division

2	404, 1776
2	202, 888
	101, 444

∴ So the LCM of the given numbers is 2 x 2 x 101 x 444 = 179376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/179376

Therefore, the GCF of Fractions 2722/404,8542/1776 is 2/179376

Least Common Multiple of 404,1776 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 404,1776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,1776) = 4

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

GCF(404,1776) x common factors =4 x 1 = 4

LCM(404,1776) = ( 404 × 1776 ) / 4

LCM(404,1776) = 717504 / 4

LCM(404,1776) = 179376

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FAQs on GCF of Fractions of 2722/404, 8542/1776

1. What is the HCF of 2722,8542?

The HCF of 2722,8542 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 2722/404, 8542/1776?

Answer: GCF of Numerators as per given numbers 2722/404, 8542/1776 is

GCF of Numerators i.e. for 2722,8542 is 2

LCM of denominators i.e. for 404,1776 is 179376.

Thus, GCF of Fractions is 2/179376.Finally, GCF of Fractions for 2722/404, 8542/1776 is 2/179376.