GCD of 270, 516, 150, 298 Calculator

Given Input numbers are 270, 516, 150, 298

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (270, 516, 150, 298) = 2.

Given numbers are 270, 516, 150, 298

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 516 are 2 x 2 x 3 x 43

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

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 270, 516, 150, 298 is 2.

Given numbers are 270, 516, 150, 298

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

Apply this formula for all numbers.

Step1:

LCM(270, 516) = 23220

GCD(270, 516) = ( 270 x 516 ) / 23220

= 270 / 516

= 270

Step2:

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

= 6 / 150

= 6

Step3:

LCM(6, 298) = 894

GCD(6, 298) = ( 6 x 298 ) / 894

= 6 / 298

= 6

So, Greatest Common Divisor of 270, 516, 150, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 602, 414, 689
• GCD of 412, 937, 448, 745
• GCD of 425, 240, 183, 937
• GCD of 756, 239, 915, 590
• GCD of 113, 599, 105, 892

Given numbers are 270, 516, 150, 298
The greatest common divisor of numbers 270, 516, 150, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 516, 150, 298 is 2.

1. What is the GCD of 270, 516, 150, 298?

GCD of given numbers 270, 516, 150, 298 is 2

2. How to calculate the greatest common divisor of 270, 516, 150, 298?

We can find the highest common divisor of 270, 516, 150, 298 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, 516, 150, 298 i.e 2.

3. How can I use the GCD of 270, 516, 150, 298Calculator?

Out the numbers 270, 516, 150, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.