GCD of 370, 654, 140, 609 Calculator

Given Input numbers are 370, 654, 140, 609

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 370

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

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 370, 654, 140, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 654, 140, 609 is 1.

Therefore, GCD of numbers 370, 654, 140, 609 is 1

Given Input Data is 370, 654, 140, 609

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 609 is 3 x 7 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(370, 654) = 120990

GCD(370, 654) = ( 370 x 654 ) / 120990

GCD(370, 654) = 241980 / 120990

GCD(370, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

GCD of 370, 654, 140, 609 is 1

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1. What is the GCD of 370, 654, 140, 609?

GCD of 370, 654, 140, 609 is 1

2. Where do I get the detailed procedure to find GCD of 370, 654, 140, 609?

You can find a detailed procedure to find GCD of 370, 654, 140, 609 on our page.

3. How to find GCD of 370, 654, 140, 609 on a calculator?

You can find the GCD of 370, 654, 140, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.