GCD of 126, 609, 53, 364 Calculator

Given Input numbers are 126, 609, 53, 364

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 609

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

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 126, 609, 53, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 609, 53, 364 is 1.

Therefore, GCD of numbers 126, 609, 53, 364 is 1

Given Input Data is 126, 609, 53, 364

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 53 is 53

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(126, 609) = 3654

GCD(126, 609) = ( 126 x 609 ) / 3654

GCD(126, 609) = 76734 / 3654

GCD(126, 609) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 53

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

LCM(21, 53) = 1113

GCD(21, 53) = ( 21 x 53 ) / 1113

GCD(21, 53) = 1113 / 1113

GCD(21, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 126, 609, 53, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 213, 73, 847
• GCD of 346, 759, 70, 673
• GCD of 288, 373, 87, 786
• GCD of 262, 922, 32, 478
• GCD of 957, 971, 43, 248

1. What is the GCD of 126, 609, 53, 364?

GCD of 126, 609, 53, 364 is 1

2. Where do I get the detailed procedure to find GCD of 126, 609, 53, 364?

You can find a detailed procedure to find GCD of 126, 609, 53, 364 on our page.

3. How to find GCD of 126, 609, 53, 364 on a calculator?

You can find the GCD of 126, 609, 53, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.