GCD of 150, 460, 800 Calculator

Given Input numbers are 150, 460, 800

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

GCD of numbers is the greatest common divisor

So, the GCD (150, 460, 800) = 10.

Given numbers are 150, 460, 800

The list of prime factors of all numbers are

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

Prime factors of 460 are 2 x 2 x 5 x 23

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 150, 460, 800 is 10.

Given numbers are 150, 460, 800

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

Apply this formula for all numbers.

Step1:

LCM(150, 460) = 6900

GCD(150, 460) = ( 150 x 460 ) / 6900

= 150 / 460

= 150

Step2:

LCM(10, 800) = 800

GCD(10, 800) = ( 10 x 800 ) / 800

= 10 / 800

= 10

So, Greatest Common Divisor of 150, 460, 800 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 423, 412
• GCD of 141, 753, 348
• GCD of 933, 237, 909
• GCD of 316, 606, 638
• GCD of 286, 492, 636

Given numbers are 150, 460, 800
The greatest common divisor of numbers 150, 460, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 460, 800 is 10.

1. What is the GCD of 150, 460, 800?

GCD of given numbers 150, 460, 800 is 10

2. How to calculate the greatest common divisor of 150, 460, 800?

We can find the highest common divisor of 150, 460, 800 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, 460, 800 i.e 10.

3. How can I use the GCD of 150, 460, 800Calculator?

Out the numbers 150, 460, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.