Greatest Common Factor of 8025/900, 3614/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8025/900, 3614/367

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8025/900,3614/367

Given fractions are 8025/900,3614/367

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8025,3614

Greatest Common Factor of Numerators i.e. GCF of 8025,3614 is 1 .

LCM of Denominators means LCM of 900,367 as per the given fractions.

LCM of 900,367 is 330300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8025,3614

GCF of Fractions 8025/900,3614/367 is 1/330300

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

Greatest Common Factor of 8025,3614 By Matching Biggest Common Factor Method

Greatest Common Factor of 8025,3614 By Matching Biggest Common Factor Method

Factors of 8025

List of positive integer factors of 8025 that divides 8025 without a remainder.

1,3,5,15,25,75,107,321,535,1605,2675,8025

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1,2,13,26,139,278,1807,3614

Greatest Common Factor

We found the factors 8025,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 8025,3614 is 1.

Lets's calculate LCM of 900,367

Given numbers has no common factors except 1. So, there LCM is their product i.e 330300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330300

Therefore, the GCF of Fractions 8025/900,3614/367 is 1/330300

Least Common Multiple of 900,367 with GCF Formula

Least Common Multiple of 900,367 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 900,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,367) = 1

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

GCF(900,367) x common factors =1 x 1 = 1

LCM(900,367) = ( 900 × 367 ) / 1

LCM(900,367) = 330300 / 1

LCM(900,367) = 330300


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8025/900, 3614/367

1. 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.

2. What is the GCF of Fractions for 8025/900, 3614/367?

Answer: GCF of Numerators as per given numbers 8025/900, 3614/367 is

GCF of Numerators i.e. for 8025,3614 is 1

LCM of denominators i.e. for 900,367 is 330300.

Thus, GCF of Fractions is 1/330300.Finally, GCF of Fractions for 8025/900, 3614/367 is 1/330300.