GCD of 120, 926, 929, 659 Calculator

Given Input numbers are 120, 926, 929, 659

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 926

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

1, 2, 463, 926

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 120, 926, 929, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 926, 929, 659 is 1.

Therefore, GCD of numbers 120, 926, 929, 659 is 1

Given Input Data is 120, 926, 929, 659

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 926 is 2 x 463

Prime Factorization of 929 is 929

Prime Factorization of 659 is 659

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(120, 926) = 55560

GCD(120, 926) = ( 120 x 926 ) / 55560

GCD(120, 926) = 111120 / 55560

GCD(120, 926) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 120, 926, 929, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 990, 398, 221
• GCD of 829, 908, 527, 898
• GCD of 488, 874, 203, 244
• GCD of 930, 120, 662, 342
• GCD of 890, 785, 910, 684

1. What is the GCD of 120, 926, 929, 659?

GCD of 120, 926, 929, 659 is 1

2. Where do I get the detailed procedure to find GCD of 120, 926, 929, 659?

You can find a detailed procedure to find GCD of 120, 926, 929, 659 on our page.

3. How to find GCD of 120, 926, 929, 659 on a calculator?

You can find the GCD of 120, 926, 929, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.