GCD of 270, 213, 159, 780 Calculator

Given Input numbers are 270, 213, 159, 780

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (270, 213, 159, 780) = 3.

Given numbers are 270, 213, 159, 780

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 213 are 3 x 71

Prime factors of 159 are 3 x 53

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 270, 213, 159, 780 is 3.

Given numbers are 270, 213, 159, 780

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

Apply this formula for all numbers.

Step1:

LCM(270, 213) = 19170

GCD(270, 213) = ( 270 x 213 ) / 19170

= 270 / 213

= 270

Step2:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3

Step3:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

So, Greatest Common Divisor of 270, 213, 159, 780 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 101, 206, 858
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Given numbers are 270, 213, 159, 780
The greatest common divisor of numbers 270, 213, 159, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 213, 159, 780 is 3.

1. What is the GCD of 270, 213, 159, 780?

GCD of given numbers 270, 213, 159, 780 is 3

2. How to calculate the greatest common divisor of 270, 213, 159, 780?

We can find the highest common divisor of 270, 213, 159, 780 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, 213, 159, 780 i.e 3.

3. How can I use the GCD of 270, 213, 159, 780Calculator?

Out the numbers 270, 213, 159, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.