GCD of 987, 315, 19, 561 Calculator

Given Input numbers are 987, 315, 19, 561

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 19 :

The positive integer divisors of 19 that completely divides 19 are.

1, 19

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (987, 315, 19, 561) = 1.

Given numbers are 987, 315, 19, 561

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 19 are 19

Prime factors of 561 are 3 x 11 x 17

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

Given numbers are 987, 315, 19, 561

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

Apply this formula for all numbers.

Step1:

LCM(987, 315) = 14805

GCD(987, 315) = ( 987 x 315 ) / 14805

= 987 / 315

= 987

Step2:

LCM(21, 19) = 399

GCD(21, 19) = ( 21 x 19 ) / 399

= 21 / 19

= 21

Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

So, Greatest Common Divisor of 987, 315, 19, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 369, 88, 899
• GCD of 302, 765, 94, 554
• GCD of 475, 456, 90, 178
• GCD of 783, 994, 97, 457
• GCD of 877, 707, 58, 902

Given numbers are 987, 315, 19, 561
The greatest common divisor of numbers 987, 315, 19, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 315, 19, 561 is 1.

1. What is the GCD of 987, 315, 19, 561?

GCD of given numbers 987, 315, 19, 561 is 1

2. How to calculate the greatest common divisor of 987, 315, 19, 561?

We can find the highest common divisor of 987, 315, 19, 561 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 987, 315, 19, 561 i.e 1.

3. How can I use the GCD of 987, 315, 19, 561Calculator?

Out the numbers 987, 315, 19, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.