GCD of 150, 861, 998, 300 Calculator

Given Input numbers are 150, 861, 998, 300

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 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (150, 861, 998, 300) = 1.

Given numbers are 150, 861, 998, 300

The list of prime factors of all numbers are

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

Prime factors of 861 are 3 x 7 x 41

Prime factors of 998 are 2 x 499

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Given numbers are 150, 861, 998, 300

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

Apply this formula for all numbers.

Step1:

LCM(150, 861) = 43050

GCD(150, 861) = ( 150 x 861 ) / 43050

= 150 / 861

= 150

Step2:

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

= 3 / 998

= 3

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 150, 861, 998, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 112, 771, 729
• GCD of 983, 882, 707, 552
• GCD of 408, 751, 627, 546
• GCD of 768, 582, 665, 249
• GCD of 574, 736, 148, 389

Given numbers are 150, 861, 998, 300
The greatest common divisor of numbers 150, 861, 998, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 861, 998, 300 is 1.

1. What is the GCD of 150, 861, 998, 300?

GCD of given numbers 150, 861, 998, 300 is 1

2. How to calculate the greatest common divisor of 150, 861, 998, 300?

We can find the highest common divisor of 150, 861, 998, 300 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, 861, 998, 300 i.e 1.

3. How can I use the GCD of 150, 861, 998, 300Calculator?

Out the numbers 150, 861, 998, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.