GCD of 150, 800, 982, 900 Calculator

Given Input numbers are 150, 800, 982, 900

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (150, 800, 982, 900) = 2.

Given numbers are 150, 800, 982, 900

The list of prime factors of all numbers are

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

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 982 are 2 x 491

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 150, 800, 982, 900 is 2.

Given numbers are 150, 800, 982, 900

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

Apply this formula for all numbers.

Step1:

LCM(150, 800) = 2400

GCD(150, 800) = ( 150 x 800 ) / 2400

= 150 / 800

= 150

Step2:

LCM(50, 982) = 24550

GCD(50, 982) = ( 50 x 982 ) / 24550

= 50 / 982

= 50

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 150, 800, 982, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 925, 362, 780
• GCD of 914, 386, 449, 927
• GCD of 429, 492, 276, 680
• GCD of 168, 811, 169, 941
• GCD of 950, 734, 273, 121

Given numbers are 150, 800, 982, 900
The greatest common divisor of numbers 150, 800, 982, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 800, 982, 900 is 2.

1. What is the GCD of 150, 800, 982, 900?

GCD of given numbers 150, 800, 982, 900 is 2

2. How to calculate the greatest common divisor of 150, 800, 982, 900?

We can find the highest common divisor of 150, 800, 982, 900 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, 800, 982, 900 i.e 2.

3. How can I use the GCD of 150, 800, 982, 900Calculator?

Out the numbers 150, 800, 982, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.