GCD of 150, 536, 220, 310 Calculator

Given Input numbers are 150, 536, 220, 310

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 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (150, 536, 220, 310) = 2.

Given numbers are 150, 536, 220, 310

The list of prime factors of all numbers are

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

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 150, 536, 220, 310 is 2.

Given numbers are 150, 536, 220, 310

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

Apply this formula for all numbers.

Step1:

LCM(150, 536) = 40200

GCD(150, 536) = ( 150 x 536 ) / 40200

= 150 / 536

= 150

Step2:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 150, 536, 220, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 610, 733, 185
• GCD of 373, 432, 748, 642
• GCD of 535, 591, 376, 960
• GCD of 729, 757, 404, 433
• GCD of 148, 186, 372, 871

Given numbers are 150, 536, 220, 310
The greatest common divisor of numbers 150, 536, 220, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 536, 220, 310 is 2.

1. What is the GCD of 150, 536, 220, 310?

GCD of given numbers 150, 536, 220, 310 is 2

2. How to calculate the greatest common divisor of 150, 536, 220, 310?

We can find the highest common divisor of 150, 536, 220, 310 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, 536, 220, 310 i.e 2.

3. How can I use the GCD of 150, 536, 220, 310Calculator?

Out the numbers 150, 536, 220, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.