GCD of 213, 159, 276 Calculator

Given Input numbers are 213, 159, 276

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

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

GCD of numbers is the greatest common divisor

So, the GCD (213, 159, 276) = 3.

Given numbers are 213, 159, 276

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 159 are 3 x 53

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 213, 159, 276 is 3.

Given numbers are 213, 159, 276

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

Apply this formula for all numbers.

Step1:

LCM(213, 159) = 11289

GCD(213, 159) = ( 213 x 159 ) / 11289

= 213 / 159

= 213

Step2:

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

= 3 / 276

= 3

So, Greatest Common Divisor of 213, 159, 276 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 535, 799
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Given numbers are 213, 159, 276
The greatest common divisor of numbers 213, 159, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 159, 276 is 3.

1. What is the GCD of 213, 159, 276?

GCD of given numbers 213, 159, 276 is 3

2. How to calculate the greatest common divisor of 213, 159, 276?

We can find the highest common divisor of 213, 159, 276 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 213, 159, 276 i.e 3.

3. How can I use the GCD of 213, 159, 276Calculator?

Out the numbers 213, 159, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.