GCD of 965, 660, 42, 509 Calculator

Given Input numbers are 965, 660, 42, 509

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 965, 660, 42, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 660, 42, 509 is 1.

Therefore, GCD of numbers 965, 660, 42, 509 is 1

Given Input Data is 965, 660, 42, 509

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 509 is 509

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(965, 660) = 127380

GCD(965, 660) = ( 965 x 660 ) / 127380

GCD(965, 660) = 636900 / 127380

GCD(965, 660) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 42

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

LCM(5, 42) = 210

GCD(5, 42) = ( 5 x 42 ) / 210

GCD(5, 42) = 210 / 210

GCD(5, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 965, 660, 42, 509 is 1

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• GCD of 710, 296, 50, 750
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1. What is the GCD of 965, 660, 42, 509?

GCD of 965, 660, 42, 509 is 1

2. Where do I get the detailed procedure to find GCD of 965, 660, 42, 509?

You can find a detailed procedure to find GCD of 965, 660, 42, 509 on our page.

3. How to find GCD of 965, 660, 42, 509 on a calculator?

You can find the GCD of 965, 660, 42, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.