GCD of 500, 657, 38, 734 Calculator

Given Input numbers are 500, 657, 38, 734

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 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 38 :

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

1, 2, 19, 38

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (500, 657, 38, 734) = 1.

Given numbers are 500, 657, 38, 734

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 657 are 3 x 3 x 73

Prime factors of 38 are 2 x 19

Prime factors of 734 are 2 x 367

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

Given numbers are 500, 657, 38, 734

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

Apply this formula for all numbers.

Step1:

LCM(500, 657) = 328500

GCD(500, 657) = ( 500 x 657 ) / 328500

= 500 / 657

= 500

Step2:

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

= 1 / 38

= 1

Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1

So, Greatest Common Divisor of 500, 657, 38, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 957, 87, 319
• GCD of 389, 959, 69, 199
• GCD of 687, 950, 68, 678
• GCD of 159, 883, 60, 143
• GCD of 134, 571, 94, 792

Given numbers are 500, 657, 38, 734
The greatest common divisor of numbers 500, 657, 38, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 657, 38, 734 is 1.

1. What is the GCD of 500, 657, 38, 734?

GCD of given numbers 500, 657, 38, 734 is 1

2. How to calculate the greatest common divisor of 500, 657, 38, 734?

We can find the highest common divisor of 500, 657, 38, 734 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, 657, 38, 734 i.e 1.

3. How can I use the GCD of 500, 657, 38, 734Calculator?

Out the numbers 500, 657, 38, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.