GCD of 938, 959, 59, 264 Calculator

Given Input numbers are 938, 959, 59, 264

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 59

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

1, 59

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 938, 959, 59, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 959, 59, 264 is 1.

Therefore, GCD of numbers 938, 959, 59, 264 is 1

Given Input Data is 938, 959, 59, 264

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 959 is 7 x 137

Prime Factorization of 59 is 59

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(938, 959) = 128506

GCD(938, 959) = ( 938 x 959 ) / 128506

GCD(938, 959) = 899542 / 128506

GCD(938, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 59

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

LCM(7, 59) = 413

GCD(7, 59) = ( 7 x 59 ) / 413

GCD(7, 59) = 413 / 413

GCD(7, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 938, 959, 59, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 428, 27, 696
• GCD of 469, 367, 92, 455
• GCD of 523, 285, 55, 302
• GCD of 289, 835, 71, 471
• GCD of 149, 355, 75, 130

1. What is the GCD of 938, 959, 59, 264?

GCD of 938, 959, 59, 264 is 1

2. Where do I get the detailed procedure to find GCD of 938, 959, 59, 264?

You can find a detailed procedure to find GCD of 938, 959, 59, 264 on our page.

3. How to find GCD of 938, 959, 59, 264 on a calculator?

You can find the GCD of 938, 959, 59, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.