GCD of 195, 138, 973, 500 Calculator

Given Input numbers are 195, 138, 973, 500

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

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 (195, 138, 973, 500) = 1.

Given numbers are 195, 138, 973, 500

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 138 are 2 x 3 x 23

Prime factors of 973 are 7 x 139

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 195, 138, 973, 500

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

Apply this formula for all numbers.

Step1:

LCM(195, 138) = 8970

GCD(195, 138) = ( 195 x 138 ) / 8970

= 195 / 138

= 195

Step2:

LCM(3, 973) = 2919

GCD(3, 973) = ( 3 x 973 ) / 2919

= 3 / 973

= 3

Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

So, Greatest Common Divisor of 195, 138, 973, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 803, 278, 183
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• GCD of 644, 940, 951, 353

Given numbers are 195, 138, 973, 500
The greatest common divisor of numbers 195, 138, 973, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 138, 973, 500 is 1.

1. What is the GCD of 195, 138, 973, 500?

GCD of given numbers 195, 138, 973, 500 is 1

2. How to calculate the greatest common divisor of 195, 138, 973, 500?

We can find the highest common divisor of 195, 138, 973, 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 195, 138, 973, 500 i.e 1.

3. How can I use the GCD of 195, 138, 973, 500Calculator?

Out the numbers 195, 138, 973, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.