GCD of 550, 422, 972, 689 Calculator

Given Input numbers are 550, 422, 972, 689

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (550, 422, 972, 689) = 1.

Given numbers are 550, 422, 972, 689

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 422 are 2 x 211

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 689 are 13 x 53

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

Given numbers are 550, 422, 972, 689

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

Apply this formula for all numbers.

Step1:

LCM(550, 422) = 116050

GCD(550, 422) = ( 550 x 422 ) / 116050

= 550 / 422

= 550

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 550, 422, 972, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 903, 636, 878
• GCD of 717, 851, 956, 674
• GCD of 143, 341, 733, 544
• GCD of 814, 498, 144, 613
• GCD of 401, 354, 376, 287

Given numbers are 550, 422, 972, 689
The greatest common divisor of numbers 550, 422, 972, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 422, 972, 689 is 1.

1. What is the GCD of 550, 422, 972, 689?

GCD of given numbers 550, 422, 972, 689 is 1

2. How to calculate the greatest common divisor of 550, 422, 972, 689?

We can find the highest common divisor of 550, 422, 972, 689 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 550, 422, 972, 689 i.e 1.

3. How can I use the GCD of 550, 422, 972, 689Calculator?

Out the numbers 550, 422, 972, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.