GCD of 237, 506, 74, 202 Calculator

Given Input numbers are 237, 506, 74, 202

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 237, 506, 74, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 506, 74, 202 is 1.

Therefore, GCD of numbers 237, 506, 74, 202 is 1

Given Input Data is 237, 506, 74, 202

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 202 is 2 x 101

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(237, 506) = 119922

GCD(237, 506) = ( 237 x 506 ) / 119922

GCD(237, 506) = 119922 / 119922

GCD(237, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 237, 506, 74, 202 is 1

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1. What is the GCD of 237, 506, 74, 202?

GCD of 237, 506, 74, 202 is 1

2. Where do I get the detailed procedure to find GCD of 237, 506, 74, 202?

You can find a detailed procedure to find GCD of 237, 506, 74, 202 on our page.

3. How to find GCD of 237, 506, 74, 202 on a calculator?

You can find the GCD of 237, 506, 74, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.