GCD of 689, 872, 500, 138 Calculator

Given Input numbers are 689, 872, 500, 138

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (689, 872, 500, 138) = 1.

Given numbers are 689, 872, 500, 138

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 872 are 2 x 2 x 2 x 109

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

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 689, 872, 500, 138

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

Apply this formula for all numbers.

Step1:

LCM(689, 872) = 600808

GCD(689, 872) = ( 689 x 872 ) / 600808

= 689 / 872

= 689

Step2:

LCM(1, 500) = 500

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

= 1 / 500

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 689, 872, 500, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 449, 982, 777
• GCD of 466, 526, 231, 327
• GCD of 893, 470, 367, 417
• GCD of 571, 736, 830, 973
• GCD of 969, 560, 985, 407

Given numbers are 689, 872, 500, 138
The greatest common divisor of numbers 689, 872, 500, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 872, 500, 138 is 1.

1. What is the GCD of 689, 872, 500, 138?

GCD of given numbers 689, 872, 500, 138 is 1

2. How to calculate the greatest common divisor of 689, 872, 500, 138?

We can find the highest common divisor of 689, 872, 500, 138 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 689, 872, 500, 138 i.e 1.

3. How can I use the GCD of 689, 872, 500, 138Calculator?

Out the numbers 689, 872, 500, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.