GCD of 270, 500, 652, 150 Calculator

Given Input numbers are 270, 500, 652, 150

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

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 (270, 500, 652, 150) = 2.

Given numbers are 270, 500, 652, 150

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 652 are 2 x 2 x 163

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

The highest common occurrence is 2¹

Therefore, GCD of 270, 500, 652, 150 is 2.

Given numbers are 270, 500, 652, 150

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

Apply this formula for all numbers.

Step1:

LCM(270, 500) = 13500

GCD(270, 500) = ( 270 x 500 ) / 13500

= 270 / 500

= 270

Step2:

LCM(10, 652) = 3260

GCD(10, 652) = ( 10 x 652 ) / 3260

= 10 / 652

= 10

Step3:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

So, Greatest Common Divisor of 270, 500, 652, 150 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 599, 428, 353
• GCD of 353, 833, 424, 926
• GCD of 395, 963, 691, 618
• GCD of 615, 183, 757, 363
• GCD of 672, 889, 343, 667

Given numbers are 270, 500, 652, 150
The greatest common divisor of numbers 270, 500, 652, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 500, 652, 150 is 2.

1. What is the GCD of 270, 500, 652, 150?

GCD of given numbers 270, 500, 652, 150 is 2

2. How to calculate the greatest common divisor of 270, 500, 652, 150?

We can find the highest common divisor of 270, 500, 652, 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 270, 500, 652, 150 i.e 2.

3. How can I use the GCD of 270, 500, 652, 150Calculator?

Out the numbers 270, 500, 652, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.