GCD of 10, 500, 689, 195 Calculator

Given Input numbers are 10, 500, 689, 195

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

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 195 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (10, 500, 689, 195) = 1.

Given numbers are 10, 500, 689, 195

The list of prime factors of all numbers are

Prime factors of 10 are 2 x 5

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

Prime factors of 689 are 13 x 53

Prime factors of 195 are 3 x 5 x 13

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

Given numbers are 10, 500, 689, 195

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

Apply this formula for all numbers.

Step1:

LCM(10, 500) = 500

GCD(10, 500) = ( 10 x 500 ) / 500

= 10 / 500

= 10

Step2:

LCM(10, 689) = 6890

GCD(10, 689) = ( 10 x 689 ) / 6890

= 10 / 689

= 10

Step3:

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

= 1 / 195

= 1

So, Greatest Common Divisor of 10, 500, 689, 195 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 848, 636, 108
• GCD of 81, 356, 123, 932
• GCD of 18, 353, 383, 350
• GCD of 63, 501, 392, 702
• GCD of 21, 328, 586, 677

Given numbers are 10, 500, 689, 195
The greatest common divisor of numbers 10, 500, 689, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 10, 500, 689, 195 is 1.

1. What is the GCD of 10, 500, 689, 195?

GCD of given numbers 10, 500, 689, 195 is 1

2. How to calculate the greatest common divisor of 10, 500, 689, 195?

We can find the highest common divisor of 10, 500, 689, 195 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 10, 500, 689, 195 i.e 1.

3. How can I use the GCD of 10, 500, 689, 195Calculator?

Out the numbers 10, 500, 689, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.