How to Find GCF of 17/816, 5559/3119?

GCF of 17/816, 5559/3119

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 17/816, 5559/3119 i.e 17/2545104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/816, 5559/3119.

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 17/816,5559/3119?

Given fractions are 17/816,5559/3119

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 17/816,5559/3119, numerators are 17,5559

Denominators are 816,3119

The GCF of 17,5559 is 17 .

LCM of 816,3119 is 2545104.

The greatest common factor of 17/816,5559/3119 = [GCF of 17,5559]/[LCM of 816,3119]= 17/2545104

Therefore, the GCF of 17/816,5559/3119 is 17/2545104.

Greatest Common Factor of 17,5559

To find the highest common factor of 17,5559, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559

The HCF of 17,5559 is 17.

Lets's calculate GCF of 17,5559

Greatest Common Factor (GCF) of 17,5559 By Common Division

17	17, 5559
	1, 327

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 17,5559 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 5559

1,3,17,51,109,327,1853,5559

Greatest Common Factor

We found the factors 17,5559 . The biggest common factor number is the GCF number.
So the greatest common factor 17,5559 is 17.

Lets's calculate LCM of 816,3119

Lowest Common Multiple of 816,3119 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2545104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2545104

Therefore, the GCF of Fractions 17/816,5559/3119 is 17/2545104

Least Common Multiple of 816,3119 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 816,3119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,3119) = 1

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

GCF(816,3119) x common factors =1 x 1 = 1

LCM(816,3119) = ( 816 × 3119 ) / 1

LCM(816,3119) = 2545104 / 1

LCM(816,3119) = 2545104

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FAQs on GCF of Fractions of 17/816, 5559/3119

1. What is the HCF of 17,5559?

The HCF of 17,5559 is 17

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 17/816, 5559/3119?

Answer: GCF of Numerators as per given numbers 17/816, 5559/3119 is

GCF of Numerators i.e. for 17,5559 is 17

LCM of denominators i.e. for 816,3119 is 2545104.

Thus, GCF of Fractions is 17/2545104.Finally, GCF of Fractions for 17/816, 5559/3119 is 17/2545104.