GCD of 59, 286, 744, 202 Calculator

Given Input numbers are 59, 286, 744, 202

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 59, 286, 744, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 286, 744, 202 is 1.

Therefore, GCD of numbers 59, 286, 744, 202 is 1

Given Input Data is 59, 286, 744, 202

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

Prime Factorization of 59 is 59

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(59, 286) = 16874

GCD(59, 286) = ( 59 x 286 ) / 16874

GCD(59, 286) = 16874 / 16874

GCD(59, 286) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 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 59, 286, 744, 202 is 1

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• GCD of 24, 757, 221, 553
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• GCD of 21, 368, 357, 376

1. What is the GCD of 59, 286, 744, 202?

GCD of 59, 286, 744, 202 is 1

2. Where do I get the detailed procedure to find GCD of 59, 286, 744, 202?

You can find a detailed procedure to find GCD of 59, 286, 744, 202 on our page.

3. How to find GCD of 59, 286, 744, 202 on a calculator?

You can find the GCD of 59, 286, 744, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.