GCD of 500, 632, 38, 929 Calculator

Given Input numbers are 500, 632, 38, 929

In the factoring method, we have to find the divisors of all numbers

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 929 :

The positive integer divisors of 929 that completely divides 929 are.

1, 929

GCD of numbers is the greatest common divisor

So, the GCD (500, 632, 38, 929) = 1.

Given numbers are 500, 632, 38, 929

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 38 are 2 x 19

Prime factors of 929 are 929

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 500, 632, 38, 929

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(500, 632) = 79000

GCD(500, 632) = ( 500 x 632 ) / 79000

= 500 / 632

= 500

Step2:

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

= 4 / 38

= 4

Step3:

LCM(2, 929) = 1858

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

= 2 / 929

= 2

So, Greatest Common Divisor of 500, 632, 38, 929 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 869, 20, 239
• GCD of 151, 324, 51, 712
• GCD of 131, 159, 43, 630
• GCD of 994, 599, 51, 395
• GCD of 104, 360, 61, 883

Given numbers are 500, 632, 38, 929
The greatest common divisor of numbers 500, 632, 38, 929 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 632, 38, 929 is 1.

1. What is the GCD of 500, 632, 38, 929?

GCD of given numbers 500, 632, 38, 929 is 1

2. How to calculate the greatest common divisor of 500, 632, 38, 929?

We can find the highest common divisor of 500, 632, 38, 929 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 500, 632, 38, 929 i.e 1.

3. How can I use the GCD of 500, 632, 38, 929Calculator?

Out the numbers 500, 632, 38, 929 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.