GCD of 987, 873, 150, 504 Calculator

Given Input numbers are 987, 873, 150, 504

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 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (987, 873, 150, 504) = 3.

Given numbers are 987, 873, 150, 504

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 873 are 3 x 3 x 97

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 987, 873, 150, 504 is 3.

Given numbers are 987, 873, 150, 504

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

Apply this formula for all numbers.

Step1:

LCM(987, 873) = 287217

GCD(987, 873) = ( 987 x 873 ) / 287217

= 987 / 873

= 987

Step2:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3

Step3:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

So, Greatest Common Divisor of 987, 873, 150, 504 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 869, 591, 709
• GCD of 468, 470, 400, 636
• GCD of 980, 705, 616, 487
• GCD of 881, 238, 523, 523
• GCD of 154, 629, 800, 933

Given numbers are 987, 873, 150, 504
The greatest common divisor of numbers 987, 873, 150, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 873, 150, 504 is 3.

1. What is the GCD of 987, 873, 150, 504?

GCD of given numbers 987, 873, 150, 504 is 3

2. How to calculate the greatest common divisor of 987, 873, 150, 504?

We can find the highest common divisor of 987, 873, 150, 504 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, 873, 150, 504 i.e 3.

3. How can I use the GCD of 987, 873, 150, 504Calculator?

Out the numbers 987, 873, 150, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.