Greatest Common Factor of 365/465, 6609/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/465, 6609/614

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 365/465,6609/614

Given fractions are 365/465,6609/614

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 365,6609

Greatest Common Factor of Numerators i.e. GCF of 365,6609 is 1 .

LCM of Denominators means LCM of 465,614 as per the given fractions.

LCM of 465,614 is 285510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,6609

GCF of Fractions 365/465,6609/614 is 1/285510

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

Greatest Common Factor of 365,6609 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,6609 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 6609

List of positive integer factors of 6609 that divides 6609 without a remainder.

1,3,2203,6609

Greatest Common Factor

We found the factors 365,6609 . The biggest common factor number is the GCF number.
So the greatest common factor 365,6609 is 1.

Lets's calculate LCM of 465,614

Given numbers has no common factors except 1. So, there LCM is their product i.e 285510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285510

Therefore, the GCF of Fractions 365/465,6609/614 is 1/285510

Least Common Multiple of 465,614 with GCF Formula

Least Common Multiple of 465,614 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 465,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,614) = 1

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

GCF(465,614) x common factors =1 x 1 = 1

LCM(465,614) = ( 465 × 614 ) / 1

LCM(465,614) = 285510 / 1

LCM(465,614) = 285510


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 365/465, 6609/614

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 365/465, 6609/614?

Answer: GCF of Numerators as per given numbers 365/465, 6609/614 is

GCF of Numerators i.e. for 365,6609 is 1

LCM of denominators i.e. for 465,614 is 285510.

Thus, GCF of Fractions is 1/285510.Finally, GCF of Fractions for 365/465, 6609/614 is 1/285510.