GCD of 489, 875, 961, 972 Calculator

Given Input numbers are 489, 875, 961, 972

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

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

GCD of numbers is the greatest common divisor

So, the GCD (489, 875, 961, 972) = 1.

Given numbers are 489, 875, 961, 972

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 961 are 31 x 31

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

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

Given numbers are 489, 875, 961, 972

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

Apply this formula for all numbers.

Step1:

LCM(489, 875) = 427875

GCD(489, 875) = ( 489 x 875 ) / 427875

= 489 / 875

= 489

Step2:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 489, 875, 961, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 696, 950, 246
• GCD of 871, 639, 921, 348
• GCD of 835, 421, 155, 828
• GCD of 981, 870, 107, 432
• GCD of 134, 523, 541, 527

Given numbers are 489, 875, 961, 972
The greatest common divisor of numbers 489, 875, 961, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 875, 961, 972 is 1.

1. What is the GCD of 489, 875, 961, 972?

GCD of given numbers 489, 875, 961, 972 is 1

2. How to calculate the greatest common divisor of 489, 875, 961, 972?

We can find the highest common divisor of 489, 875, 961, 972 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 489, 875, 961, 972 i.e 1.

3. How can I use the GCD of 489, 875, 961, 972Calculator?

Out the numbers 489, 875, 961, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.