GCD of 645, 315, 53, 236 Calculator

Given Input numbers are 645, 315, 53, 236

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 53

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

1, 53

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 645, 315, 53, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 315, 53, 236 is 1.

Therefore, GCD of numbers 645, 315, 53, 236 is 1

Given Input Data is 645, 315, 53, 236

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 53 is 53

Prime Factorization of 236 is 2 x 2 x 59

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(645, 315) = 13545

GCD(645, 315) = ( 645 x 315 ) / 13545

GCD(645, 315) = 203175 / 13545

GCD(645, 315) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 53

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

LCM(15, 53) = 795

GCD(15, 53) = ( 15 x 53 ) / 795

GCD(15, 53) = 795 / 795

GCD(15, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 236

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

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

GCD(1, 236) = 236 / 236

GCD(1, 236) = 1

GCD of 645, 315, 53, 236 is 1

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1. What is the GCD of 645, 315, 53, 236?

GCD of 645, 315, 53, 236 is 1

2. Where do I get the detailed procedure to find GCD of 645, 315, 53, 236?

You can find a detailed procedure to find GCD of 645, 315, 53, 236 on our page.

3. How to find GCD of 645, 315, 53, 236 on a calculator?

You can find the GCD of 645, 315, 53, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.