GCD of 500, 696, 60, 218 Calculator

Given Input numbers are 500, 696, 60, 218

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (500, 696, 60, 218) = 2.

Given numbers are 500, 696, 60, 218

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 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 500, 696, 60, 218 is 2.

Given numbers are 500, 696, 60, 218

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

Apply this formula for all numbers.

Step1:

LCM(500, 696) = 87000

GCD(500, 696) = ( 500 x 696 ) / 87000

= 500 / 696

= 500

Step2:

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

= 4 / 60

= 4

Step3:

LCM(4, 218) = 436

GCD(4, 218) = ( 4 x 218 ) / 436

= 4 / 218

= 4

So, Greatest Common Divisor of 500, 696, 60, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 959, 80, 325
• GCD of 763, 921, 29, 380
• GCD of 938, 848, 25, 788
• GCD of 236, 476, 76, 396
• GCD of 657, 538, 16, 619

Given numbers are 500, 696, 60, 218
The greatest common divisor of numbers 500, 696, 60, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 696, 60, 218 is 2.

1. What is the GCD of 500, 696, 60, 218?

GCD of given numbers 500, 696, 60, 218 is 2

2. How to calculate the greatest common divisor of 500, 696, 60, 218?

We can find the highest common divisor of 500, 696, 60, 218 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, 696, 60, 218 i.e 2.

3. How can I use the GCD of 500, 696, 60, 218Calculator?

Out the numbers 500, 696, 60, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.