GCD of 978, 321, 500 Calculator

Given Input numbers are 978, 321, 500

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

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

GCD of numbers is the greatest common divisor

So, the GCD (978, 321, 500) = 1.

Given numbers are 978, 321, 500

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 321 are 3 x 107

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

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

Given numbers are 978, 321, 500

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

Apply this formula for all numbers.

Step1:

LCM(978, 321) = 104646

GCD(978, 321) = ( 978 x 321 ) / 104646

= 978 / 321

= 978

Step2:

LCM(3, 500) = 1500

GCD(3, 500) = ( 3 x 500 ) / 1500

= 3 / 500

= 3

So, Greatest Common Divisor of 978, 321, 500 is 1

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Given numbers are 978, 321, 500
The greatest common divisor of numbers 978, 321, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 321, 500 is 1.

1. What is the GCD of 978, 321, 500?

GCD of given numbers 978, 321, 500 is 1

2. How to calculate the greatest common divisor of 978, 321, 500?

We can find the highest common divisor of 978, 321, 500 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 978, 321, 500 i.e 1.

3. How can I use the GCD of 978, 321, 500Calculator?

Out the numbers 978, 321, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.