GCD of 150, 264, 987, 578 Calculator

Given Input numbers are 150, 264, 987, 578

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

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 987 :

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

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

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

GCD of numbers is the greatest common divisor

So, the GCD (150, 264, 987, 578) = 1.

Given numbers are 150, 264, 987, 578

The list of prime factors of all numbers are

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 987 are 3 x 7 x 47

Prime factors of 578 are 2 x 17 x 17

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

Given numbers are 150, 264, 987, 578

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

Apply this formula for all numbers.

Step1:

LCM(150, 264) = 6600

GCD(150, 264) = ( 150 x 264 ) / 6600

= 150 / 264

= 150

Step2:

LCM(6, 987) = 1974

GCD(6, 987) = ( 6 x 987 ) / 1974

= 6 / 987

= 6

Step3:

LCM(3, 578) = 1734

GCD(3, 578) = ( 3 x 578 ) / 1734

= 3 / 578

= 3

So, Greatest Common Divisor of 150, 264, 987, 578 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 871, 972, 322
• GCD of 709, 427, 910, 704
• GCD of 979, 994, 389, 430
• GCD of 635, 367, 490, 738
• GCD of 641, 428, 363, 934

Given numbers are 150, 264, 987, 578
The greatest common divisor of numbers 150, 264, 987, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 264, 987, 578 is 1.

1. What is the GCD of 150, 264, 987, 578?

GCD of given numbers 150, 264, 987, 578 is 1

2. How to calculate the greatest common divisor of 150, 264, 987, 578?

We can find the highest common divisor of 150, 264, 987, 578 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 150, 264, 987, 578 i.e 1.

3. How can I use the GCD of 150, 264, 987, 578Calculator?

Out the numbers 150, 264, 987, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.