How to Find GCF of 5644/272, 2918/9339?

GCF of 5644/272, 2918/9339

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 5644/272, 2918/9339 i.e 2/2540208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5644/272, 2918/9339.

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 5644/272,2918/9339?

Given fractions are 5644/272,2918/9339

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 5644/272,2918/9339, numerators are 5644,2918

Denominators are 272,9339

The GCF of 5644,2918 is 2 .

LCM of 272,9339 is 2540208.

The greatest common factor of 5644/272,2918/9339 = [GCF of 5644,2918]/[LCM of 272,9339]= 2/2540208

Therefore, the GCF of 5644/272,2918/9339 is 2/2540208.

Greatest Common Factor of 5644,2918

To find the highest common factor of 5644,2918, we have to find the factors of both numbers and list the highest common factor.

The factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644

The factors of 2918 are 1, 2, 1459, 2918

The HCF of 5644,2918 is 2.

Lets's calculate GCF of 5644,2918

Greatest Common Factor (GCF) of 5644,2918 By Common Division

2	5644, 2918
	2822, 1459

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

Greatest Common Factor of 5644,2918 By Matching Biggest Common Factor Method

Now, list down the factors of 5644

1,2,4,17,34,68,83,166,332,1411,2822,5644

Now, list down the factors of 2918

1,2,1459,2918

Greatest Common Factor

We found the factors 5644,2918 . The biggest common factor number is the GCF number.
So the greatest common factor 5644,2918 is 2.

Lets's calculate LCM of 272,9339

Lowest Common Multiple of 272,9339 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2540208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2540208

Therefore, the GCF of Fractions 5644/272,2918/9339 is 2/2540208

Least Common Multiple of 272,9339 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 272,9339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,9339) = 1

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

GCF(272,9339) x common factors =1 x 1 = 1

LCM(272,9339) = ( 272 × 9339 ) / 1

LCM(272,9339) = 2540208 / 1

LCM(272,9339) = 2540208

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FAQs on GCF of Fractions of 5644/272, 2918/9339

1. What is the HCF of 5644,2918?

The HCF of 5644,2918 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 5644/272, 2918/9339?

Answer: GCF of Numerators as per given numbers 5644/272, 2918/9339 is

GCF of Numerators i.e. for 5644,2918 is 2

LCM of denominators i.e. for 272,9339 is 2540208.

Thus, GCF of Fractions is 2/2540208.Finally, GCF of Fractions for 5644/272, 2918/9339 is 2/2540208.