GCD of 500, 358, 438, 989 Calculator

Given Input numbers are 500, 358, 438, 989

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (500, 358, 438, 989) = 1.

Given numbers are 500, 358, 438, 989

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 358 are 2 x 179

Prime factors of 438 are 2 x 3 x 73

Prime factors of 989 are 23 x 43

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

Given numbers are 500, 358, 438, 989

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

Apply this formula for all numbers.

Step1:

LCM(500, 358) = 89500

GCD(500, 358) = ( 500 x 358 ) / 89500

= 500 / 358

= 500

Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

Step3:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

So, Greatest Common Divisor of 500, 358, 438, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 243, 881, 401
• GCD of 865, 739, 765, 379
• GCD of 654, 420, 883, 844
• GCD of 296, 499, 585, 967
• GCD of 375, 229, 882, 411

Given numbers are 500, 358, 438, 989
The greatest common divisor of numbers 500, 358, 438, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 358, 438, 989 is 1.

1. What is the GCD of 500, 358, 438, 989?

GCD of given numbers 500, 358, 438, 989 is 1

2. How to calculate the greatest common divisor of 500, 358, 438, 989?

We can find the highest common divisor of 500, 358, 438, 989 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, 358, 438, 989 i.e 1.

3. How can I use the GCD of 500, 358, 438, 989Calculator?

Out the numbers 500, 358, 438, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.