GCD of 360, 717, 938, 126 Calculator

Given Input numbers are 360, 717, 938, 126

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

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 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

Greatest Common Divisior

We found the divisors of 360, 717, 938, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 717, 938, 126 is 1.

Therefore, GCD of numbers 360, 717, 938, 126 is 1

Given Input Data is 360, 717, 938, 126

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 717 is 3 x 239

Prime Factorization of 938 is 2 x 7 x 67

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

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(360, 717) = 86040

GCD(360, 717) = ( 360 x 717 ) / 86040

GCD(360, 717) = 258120 / 86040

GCD(360, 717) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 938

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

LCM(3, 938) = 2814

GCD(3, 938) = ( 3 x 938 ) / 2814

GCD(3, 938) = 2814 / 2814

GCD(3, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 360, 717, 938, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 884, 136, 772
• GCD of 572, 242, 677, 862
• GCD of 110, 467, 442, 487
• GCD of 151, 571, 362, 354
• GCD of 970, 852, 296, 794

1. What is the GCD of 360, 717, 938, 126?

GCD of 360, 717, 938, 126 is 1

2. Where do I get the detailed procedure to find GCD of 360, 717, 938, 126?

You can find a detailed procedure to find GCD of 360, 717, 938, 126 on our page.

3. How to find GCD of 360, 717, 938, 126 on a calculator?

You can find the GCD of 360, 717, 938, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.