GCD of 165, 510, 987, 400 Calculator

Given Input numbers are 165, 510, 987, 400

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 987 :

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

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (165, 510, 987, 400) = 1.

Given numbers are 165, 510, 987, 400

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 987 are 3 x 7 x 47

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 165, 510, 987, 400

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

Apply this formula for all numbers.

Step1:

LCM(165, 510) = 5610

GCD(165, 510) = ( 165 x 510 ) / 5610

= 165 / 510

= 165

Step2:

LCM(15, 987) = 4935

GCD(15, 987) = ( 15 x 987 ) / 4935

= 15 / 987

= 15

Step3:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3

So, Greatest Common Divisor of 165, 510, 987, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 148, 407, 766
• GCD of 899, 905, 245, 698
• GCD of 880, 696, 441, 249
• GCD of 903, 911, 264, 394
• GCD of 710, 377, 829, 173

Given numbers are 165, 510, 987, 400
The greatest common divisor of numbers 165, 510, 987, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 510, 987, 400 is 1.

1. What is the GCD of 165, 510, 987, 400?

GCD of given numbers 165, 510, 987, 400 is 1

2. How to calculate the greatest common divisor of 165, 510, 987, 400?

We can find the highest common divisor of 165, 510, 987, 400 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 165, 510, 987, 400 i.e 1.

3. How can I use the GCD of 165, 510, 987, 400Calculator?

Out the numbers 165, 510, 987, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.