How to Find GCF of 5447/219, 2041/4330?

GCF of 5447/219, 2041/4330

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 5447/219, 2041/4330 i.e 13/948270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5447/219, 2041/4330.

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 5447/219,2041/4330?

Given fractions are 5447/219,2041/4330

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 5447/219,2041/4330, numerators are 5447,2041

Denominators are 219,4330

The GCF of 5447,2041 is 13 .

LCM of 219,4330 is 948270.

The greatest common factor of 5447/219,2041/4330 = [GCF of 5447,2041]/[LCM of 219,4330]= 13/948270

Therefore, the GCF of 5447/219,2041/4330 is 13/948270.

Greatest Common Factor of 5447,2041

To find the highest common factor of 5447,2041, we have to find the factors of both numbers and list the highest common factor.

The factors of 5447 are 1, 13, 419, 5447

The factors of 2041 are 1, 13, 157, 2041

The HCF of 5447,2041 is 13.

Lets's calculate GCF of 5447,2041

Greatest Common Factor (GCF) of 5447,2041 By Common Division

13	5447, 2041
	419, 157

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5447,2041 By Matching Biggest Common Factor Method

Now, list down the factors of 5447

1,13,419,5447

Now, list down the factors of 2041

1,13,157,2041

Greatest Common Factor

We found the factors 5447,2041 . The biggest common factor number is the GCF number.
So the greatest common factor 5447,2041 is 13.

Lets's calculate LCM of 219,4330

Lowest Common Multiple of 219,4330 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 948270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/948270

Therefore, the GCF of Fractions 5447/219,2041/4330 is 13/948270

Least Common Multiple of 219,4330 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 219,4330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,4330) = 1

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

GCF(219,4330) x common factors =1 x 1 = 1

LCM(219,4330) = ( 219 × 4330 ) / 1

LCM(219,4330) = 948270 / 1

LCM(219,4330) = 948270

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FAQs on GCF of Fractions of 5447/219, 2041/4330

1. What is the HCF of 5447,2041?

The HCF of 5447,2041 is 13

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 5447/219, 2041/4330?

Answer: GCF of Numerators as per given numbers 5447/219, 2041/4330 is

GCF of Numerators i.e. for 5447,2041 is 13

LCM of denominators i.e. for 219,4330 is 948270.

Thus, GCF of Fractions is 13/948270.Finally, GCF of Fractions for 5447/219, 2041/4330 is 13/948270.