GCD of 150, 492, 894 Calculator

Given Input numbers are 150, 492, 894

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

GCD of numbers is the greatest common divisor

So, the GCD (150, 492, 894) = 6.

Given numbers are 150, 492, 894

The list of prime factors of all numbers are

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

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 894 are 2 x 3 x 149

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 150, 492, 894 is 6.

Given numbers are 150, 492, 894

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

Apply this formula for all numbers.

Step1:

LCM(150, 492) = 12300

GCD(150, 492) = ( 150 x 492 ) / 12300

= 150 / 492

= 150

Step2:

LCM(6, 894) = 894

GCD(6, 894) = ( 6 x 894 ) / 894

= 6 / 894

= 6

So, Greatest Common Divisor of 150, 492, 894 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 656, 634
• GCD of 436, 549, 417
• GCD of 594, 818, 584
• GCD of 403, 404, 362
• GCD of 175, 105, 900

Given numbers are 150, 492, 894
The greatest common divisor of numbers 150, 492, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 492, 894 is 6.

1. What is the GCD of 150, 492, 894?

GCD of given numbers 150, 492, 894 is 6

2. How to calculate the greatest common divisor of 150, 492, 894?

We can find the highest common divisor of 150, 492, 894 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, 492, 894 i.e 6.

3. How can I use the GCD of 150, 492, 894Calculator?

Out the numbers 150, 492, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.