How to Find GCF of 8903/164, 9001/4854?

GCF of 8903/164, 9001/4854

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 8903/164, 9001/4854 i.e 1/398028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8903/164, 9001/4854.

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 8903/164,9001/4854?

Given fractions are 8903/164,9001/4854

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 8903/164,9001/4854, numerators are 8903,9001

Denominators are 164,4854

The GCF of 8903,9001 is 1 .

LCM of 164,4854 is 398028.

The greatest common factor of 8903/164,9001/4854 = [GCF of 8903,9001]/[LCM of 164,4854]= 1/398028

Therefore, the GCF of 8903/164,9001/4854 is 1/398028.

Greatest Common Factor of 8903,9001

To find the highest common factor of 8903,9001, we have to find the factors of both numbers and list the highest common factor.

The factors of 8903 are 1, 29, 307, 8903

The factors of 9001 are 1, 9001

The HCF of 8903,9001 is 1.

Lets's calculate GCF of 8903,9001

Greatest Common Factor (GCF) of 8903,9001 By Common Division

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

Greatest Common Factor of 8903,9001 By Matching Biggest Common Factor Method

Now, list down the factors of 8903

1,29,307,8903

Now, list down the factors of 9001

1,9001

Greatest Common Factor

We found the factors 8903,9001 . The biggest common factor number is the GCF number.
So the greatest common factor 8903,9001 is 1.

Lets's calculate LCM of 164,4854

Lowest Common Multiple of 164,4854 using Common Division

2	164, 4854
	82, 2427

∴ So the LCM of the given numbers is 2 x 82 x 2427 = 398028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398028

Therefore, the GCF of Fractions 8903/164,9001/4854 is 1/398028

Least Common Multiple of 164,4854 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 164,4854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,4854) = 2

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

GCF(164,4854) x common factors =2 x 1 = 2

LCM(164,4854) = ( 164 × 4854 ) / 2

LCM(164,4854) = 796056 / 2

LCM(164,4854) = 398028

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8903/164, 9001/4854

1. What is the HCF of 8903,9001?

The HCF of 8903,9001 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 8903/164, 9001/4854?

Answer: GCF of Numerators as per given numbers 8903/164, 9001/4854 is

GCF of Numerators i.e. for 8903,9001 is 1

LCM of denominators i.e. for 164,4854 is 398028.

Thus, GCF of Fractions is 1/398028.Finally, GCF of Fractions for 8903/164, 9001/4854 is 1/398028.