GCD of 100, 150, 580 Calculator

Given Input numbers are 100, 150, 580

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (100, 150, 580) = 10.

Given numbers are 100, 150, 580

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 100, 150, 580 is 10.

Given numbers are 100, 150, 580

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

Apply this formula for all numbers.

Step1:

LCM(100, 150) = 300

GCD(100, 150) = ( 100 x 150 ) / 300

= 100 / 150

= 100

Step2:

LCM(50, 580) = 2900

GCD(50, 580) = ( 50 x 580 ) / 2900

= 50 / 580

= 50

So, Greatest Common Divisor of 100, 150, 580 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 617, 295
• GCD of 160, 496, 710
• GCD of 493, 874, 960
• GCD of 397, 153, 637
• GCD of 124, 556, 946

Given numbers are 100, 150, 580
The greatest common divisor of numbers 100, 150, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 150, 580 is 10.

1. What is the GCD of 100, 150, 580?

GCD of given numbers 100, 150, 580 is 10

2. How to calculate the greatest common divisor of 100, 150, 580?

We can find the highest common divisor of 100, 150, 580 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 100, 150, 580 i.e 10.

3. How can I use the GCD of 100, 150, 580Calculator?

Out the numbers 100, 150, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.