Greatest Common Factor of 370/65, 450/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 370/65, 450/609

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 370/65,450/609

Given fractions are 370/65,450/609

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 370,450

Greatest Common Factor of Numerators i.e. GCF of 370,450 is 10 .

LCM of Denominators means LCM of 65,609 as per the given fractions.

LCM of 65,609 is 39585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 370,450

GCF of Fractions 370/65,450/609 is 10/39585

2 370, 450
5 185, 225
37, 45

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 370,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,450 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 370,450 . The biggest common factor number is the GCF number.
So the greatest common factor 370,450 is 10.

Lets's calculate LCM of 65,609

Given numbers has no common factors except 1. So, there LCM is their product i.e 39585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/39585

Therefore, the GCF of Fractions 370/65,450/609 is 10/39585

Least Common Multiple of 65,609 with GCF Formula

Least Common Multiple of 65,609 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 65,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,609) = 1

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

GCF(65,609) x common factors =1 x 1 = 1

LCM(65,609) = ( 65 × 609 ) / 1

LCM(65,609) = 39585 / 1

LCM(65,609) = 39585


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 370/65, 450/609

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 370/65, 450/609?

Answer: GCF of Numerators as per given numbers 370/65, 450/609 is

GCF of Numerators i.e. for 370,450 is 10

LCM of denominators i.e. for 65,609 is 39585.

Thus, GCF of Fractions is 10/39585.Finally, GCF of Fractions for 370/65, 450/609 is 10/39585.