How to Find GCF of 5618/295, 3992/8444?

GCF of 5618/295, 3992/8444

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 5618/295, 3992/8444 i.e 2/2490980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5618/295, 3992/8444.

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 5618/295,3992/8444?

Given fractions are 5618/295,3992/8444

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 5618/295,3992/8444, numerators are 5618,3992

Denominators are 295,8444

The GCF of 5618,3992 is 2 .

LCM of 295,8444 is 2490980.

The greatest common factor of 5618/295,3992/8444 = [GCF of 5618,3992]/[LCM of 295,8444]= 2/2490980

Therefore, the GCF of 5618/295,3992/8444 is 2/2490980.

Greatest Common Factor of 5618,3992

To find the highest common factor of 5618,3992, we have to find the factors of both numbers and list the highest common factor.

The factors of 5618 are 1, 2, 53, 106, 2809, 5618

The factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992

The HCF of 5618,3992 is 2.

Lets's calculate GCF of 5618,3992

Greatest Common Factor (GCF) of 5618,3992 By Common Division

2	5618, 3992
	2809, 1996

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

Greatest Common Factor of 5618,3992 By Matching Biggest Common Factor Method

Now, list down the factors of 5618

1,2,53,106,2809,5618

Now, list down the factors of 3992

1,2,4,8,499,998,1996,3992

Greatest Common Factor

We found the factors 5618,3992 . The biggest common factor number is the GCF number.
So the greatest common factor 5618,3992 is 2.

Lets's calculate LCM of 295,8444

Lowest Common Multiple of 295,8444 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2490980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2490980

Therefore, the GCF of Fractions 5618/295,3992/8444 is 2/2490980

Least Common Multiple of 295,8444 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 295,8444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,8444) = 1

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

GCF(295,8444) x common factors =1 x 1 = 1

LCM(295,8444) = ( 295 × 8444 ) / 1

LCM(295,8444) = 2490980 / 1

LCM(295,8444) = 2490980

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FAQs on GCF of Fractions of 5618/295, 3992/8444

1. What is the HCF of 5618,3992?

The HCF of 5618,3992 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 5618/295, 3992/8444?

Answer: GCF of Numerators as per given numbers 5618/295, 3992/8444 is

GCF of Numerators i.e. for 5618,3992 is 2

LCM of denominators i.e. for 295,8444 is 2490980.

Thus, GCF of Fractions is 2/2490980.Finally, GCF of Fractions for 5618/295, 3992/8444 is 2/2490980.