How to Find GCF of 5864/367, 5661/9176?

GCF of 5864/367, 5661/9176

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 5864/367, 5661/9176 i.e 1/3367592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5864/367, 5661/9176.

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 5864/367,5661/9176?

Given fractions are 5864/367,5661/9176

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 5864/367,5661/9176, numerators are 5864,5661

Denominators are 367,9176

The GCF of 5864,5661 is 1 .

LCM of 367,9176 is 3367592.

The greatest common factor of 5864/367,5661/9176 = [GCF of 5864,5661]/[LCM of 367,9176]= 1/3367592

Therefore, the GCF of 5864/367,5661/9176 is 1/3367592.

Greatest Common Factor of 5864,5661

To find the highest common factor of 5864,5661, we have to find the factors of both numbers and list the highest common factor.

The factors of 5864 are 1, 2, 4, 8, 733, 1466, 2932, 5864

The factors of 5661 are 1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661

The HCF of 5864,5661 is 1.

Lets's calculate GCF of 5864,5661

Greatest Common Factor (GCF) of 5864,5661 By Common Division

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

Greatest Common Factor of 5864,5661 By Matching Biggest Common Factor Method

Now, list down the factors of 5864

1,2,4,8,733,1466,2932,5864

Now, list down the factors of 5661

1,3,9,17,37,51,111,153,333,629,1887,5661

Greatest Common Factor

We found the factors 5864,5661 . The biggest common factor number is the GCF number.
So the greatest common factor 5864,5661 is 1.

Lets's calculate LCM of 367,9176

Lowest Common Multiple of 367,9176 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3367592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3367592

Therefore, the GCF of Fractions 5864/367,5661/9176 is 1/3367592

Least Common Multiple of 367,9176 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 367,9176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,9176) = 1

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

GCF(367,9176) x common factors =1 x 1 = 1

LCM(367,9176) = ( 367 × 9176 ) / 1

LCM(367,9176) = 3367592 / 1

LCM(367,9176) = 3367592

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FAQs on GCF of Fractions of 5864/367, 5661/9176

1. What is the HCF of 5864,5661?

The HCF of 5864,5661 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 5864/367, 5661/9176?

Answer: GCF of Numerators as per given numbers 5864/367, 5661/9176 is

GCF of Numerators i.e. for 5864,5661 is 1

LCM of denominators i.e. for 367,9176 is 3367592.

Thus, GCF of Fractions is 1/3367592.Finally, GCF of Fractions for 5864/367, 5661/9176 is 1/3367592.