GCD of 834, 900, 150 Calculator

Given Input numbers are 834, 900, 150

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

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

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

GCD of numbers is the greatest common divisor

So, the GCD (834, 900, 150) = 6.

Given numbers are 834, 900, 150

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

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

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 834, 900, 150 is 6.

Given numbers are 834, 900, 150

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

Apply this formula for all numbers.

Step1:

LCM(834, 900) = 125100

GCD(834, 900) = ( 834 x 900 ) / 125100

= 834 / 900

= 834

Step2:

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

= 6 / 150

= 6

So, Greatest Common Divisor of 834, 900, 150 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 678, 822
• GCD of 786, 572, 597
• GCD of 830, 293, 897
• GCD of 574, 540, 289
• GCD of 642, 823, 486

Given numbers are 834, 900, 150
The greatest common divisor of numbers 834, 900, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 900, 150 is 6.

1. What is the GCD of 834, 900, 150?

GCD of given numbers 834, 900, 150 is 6

2. How to calculate the greatest common divisor of 834, 900, 150?

We can find the highest common divisor of 834, 900, 150 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 834, 900, 150 i.e 6.

3. How can I use the GCD of 834, 900, 150Calculator?

Out the numbers 834, 900, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.