GCD of 500, 689, 78, 171 Calculator

Given Input numbers are 500, 689, 78, 171

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 689 :

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

1, 13, 53, 689

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (500, 689, 78, 171) = 1.

Given numbers are 500, 689, 78, 171

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 689 are 13 x 53

Prime factors of 78 are 2 x 3 x 13

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 500, 689, 78, 171

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

Apply this formula for all numbers.

Step1:

LCM(500, 689) = 344500

GCD(500, 689) = ( 500 x 689 ) / 344500

= 500 / 689

= 500

Step2:

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

= 1 / 78

= 1

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 500, 689, 78, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 574, 89, 663
• GCD of 804, 124, 64, 589
• GCD of 328, 204, 53, 316
• GCD of 226, 649, 44, 866
• GCD of 487, 112, 71, 502

Given numbers are 500, 689, 78, 171
The greatest common divisor of numbers 500, 689, 78, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 689, 78, 171 is 1.

1. What is the GCD of 500, 689, 78, 171?

GCD of given numbers 500, 689, 78, 171 is 1

2. How to calculate the greatest common divisor of 500, 689, 78, 171?

We can find the highest common divisor of 500, 689, 78, 171 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, 689, 78, 171 i.e 1.

3. How can I use the GCD of 500, 689, 78, 171Calculator?

Out the numbers 500, 689, 78, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.