GCD of 987, 519, 612, 432 Calculator

Given Input numbers are 987, 519, 612, 432

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 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (987, 519, 612, 432) = 3.

Given numbers are 987, 519, 612, 432

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 519 are 3 x 173

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 987, 519, 612, 432 is 3.

Given numbers are 987, 519, 612, 432

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

Apply this formula for all numbers.

Step1:

LCM(987, 519) = 170751

GCD(987, 519) = ( 987 x 519 ) / 170751

= 987 / 519

= 987

Step2:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

Step3:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

So, Greatest Common Divisor of 987, 519, 612, 432 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 761, 335, 163
• GCD of 915, 724, 106, 370
• GCD of 207, 688, 432, 761
• GCD of 596, 200, 158, 237
• GCD of 579, 321, 236, 800

Given numbers are 987, 519, 612, 432
The greatest common divisor of numbers 987, 519, 612, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 519, 612, 432 is 3.

1. What is the GCD of 987, 519, 612, 432?

GCD of given numbers 987, 519, 612, 432 is 3

2. How to calculate the greatest common divisor of 987, 519, 612, 432?

We can find the highest common divisor of 987, 519, 612, 432 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, 519, 612, 432 i.e 3.

3. How can I use the GCD of 987, 519, 612, 432Calculator?

Out the numbers 987, 519, 612, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.