How to Find GCF of 2551/664, 2338/5808?

GCF of 2551/664, 2338/5808

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 2551/664, 2338/5808 i.e 1/482064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2551/664, 2338/5808.

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 2551/664,2338/5808?

Given fractions are 2551/664,2338/5808

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 2551/664,2338/5808, numerators are 2551,2338

Denominators are 664,5808

The GCF of 2551,2338 is 1 .

LCM of 664,5808 is 482064.

The greatest common factor of 2551/664,2338/5808 = [GCF of 2551,2338]/[LCM of 664,5808]= 1/482064

Therefore, the GCF of 2551/664,2338/5808 is 1/482064.

Greatest Common Factor of 2551,2338

To find the highest common factor of 2551,2338, we have to find the factors of both numbers and list the highest common factor.

The factors of 2551 are 1, 2551

The factors of 2338 are 1, 2, 7, 14, 167, 334, 1169, 2338

The HCF of 2551,2338 is 1.

Lets's calculate GCF of 2551,2338

Greatest Common Factor (GCF) of 2551,2338 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2551,2338 By Matching Biggest Common Factor Method

Now, list down the factors of 2551

1,2551

Now, list down the factors of 2338

1,2,7,14,167,334,1169,2338

Greatest Common Factor

We found the factors 2551,2338 . The biggest common factor number is the GCF number.
So the greatest common factor 2551,2338 is 1.

Lets's calculate LCM of 664,5808

Lowest Common Multiple of 664,5808 using Common Division

2	664, 5808
2	332, 2904
2	166, 1452
	83, 726

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 726 = 482064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482064

Therefore, the GCF of Fractions 2551/664,2338/5808 is 1/482064

Least Common Multiple of 664,5808 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 664,5808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,5808) = 8

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

GCF(664,5808) x common factors =8 x 1 = 8

LCM(664,5808) = ( 664 × 5808 ) / 8

LCM(664,5808) = 3856512 / 8

LCM(664,5808) = 482064

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FAQs on GCF of Fractions of 2551/664, 2338/5808

1. What is the HCF of 2551,2338?

The HCF of 2551,2338 is 1

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 2551/664, 2338/5808?

Answer: GCF of Numerators as per given numbers 2551/664, 2338/5808 is

GCF of Numerators i.e. for 2551,2338 is 1

LCM of denominators i.e. for 664,5808 is 482064.

Thus, GCF of Fractions is 1/482064.Finally, GCF of Fractions for 2551/664, 2338/5808 is 1/482064.