How to Find GCF of 5801/168, 9585/1016?

GCF of 5801/168, 9585/1016

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 5801/168, 9585/1016 i.e 1/21336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5801/168, 9585/1016.

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 5801/168,9585/1016?

Given fractions are 5801/168,9585/1016

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 5801/168,9585/1016, numerators are 5801,9585

Denominators are 168,1016

The GCF of 5801,9585 is 1 .

LCM of 168,1016 is 21336.

The greatest common factor of 5801/168,9585/1016 = [GCF of 5801,9585]/[LCM of 168,1016]= 1/21336

Therefore, the GCF of 5801/168,9585/1016 is 1/21336.

Greatest Common Factor of 5801,9585

To find the highest common factor of 5801,9585, we have to find the factors of both numbers and list the highest common factor.

The factors of 5801 are 1, 5801

The factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585

The HCF of 5801,9585 is 1.

Lets's calculate GCF of 5801,9585

Greatest Common Factor (GCF) of 5801,9585 By Common Division

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

Greatest Common Factor of 5801,9585 By Matching Biggest Common Factor Method

Now, list down the factors of 5801

1,5801

Now, list down the factors of 9585

1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585

Greatest Common Factor

We found the factors 5801,9585 . The biggest common factor number is the GCF number.
So the greatest common factor 5801,9585 is 1.

Lets's calculate LCM of 168,1016

Lowest Common Multiple of 168,1016 using Common Division

2	168, 1016
2	84, 508
2	42, 254
	21, 127

∴ So the LCM of the given numbers is 2 x 2 x 2 x 21 x 127 = 21336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21336

Therefore, the GCF of Fractions 5801/168,9585/1016 is 1/21336

Least Common Multiple of 168,1016 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 168,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,1016) = 8

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

GCF(168,1016) x common factors =8 x 1 = 8

LCM(168,1016) = ( 168 × 1016 ) / 8

LCM(168,1016) = 170688 / 8

LCM(168,1016) = 21336

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5801/168, 9585/1016

1. What is the HCF of 5801,9585?

The HCF of 5801,9585 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 5801/168, 9585/1016?

Answer: GCF of Numerators as per given numbers 5801/168, 9585/1016 is

GCF of Numerators i.e. for 5801,9585 is 1

LCM of denominators i.e. for 168,1016 is 21336.

Thus, GCF of Fractions is 1/21336.Finally, GCF of Fractions for 5801/168, 9585/1016 is 1/21336.