GCD of 360, 662, 926, 106 Calculator

Given Input numbers are 360, 662, 926, 106

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 360, 662, 926, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 662, 926, 106 is 2.

Therefore, GCD of numbers 360, 662, 926, 106 is 2

Given Input Data is 360, 662, 926, 106

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 662 is 2 x 331

Prime Factorization of 926 is 2 x 463

Prime Factorization of 106 is 2 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 662) = 119160

GCD(360, 662) = ( 360 x 662 ) / 119160

GCD(360, 662) = 238320 / 119160

GCD(360, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 360, 662, 926, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 344, 545, 561
• GCD of 730, 955, 497, 888
• GCD of 808, 313, 456, 492
• GCD of 540, 331, 465, 108
• GCD of 607, 224, 162, 708

1. What is the GCD of 360, 662, 926, 106?

GCD of 360, 662, 926, 106 is 2

2. Where do I get the detailed procedure to find GCD of 360, 662, 926, 106?

You can find a detailed procedure to find GCD of 360, 662, 926, 106 on our page.

3. How to find GCD of 360, 662, 926, 106 on a calculator?

You can find the GCD of 360, 662, 926, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.