GCD of 219, 327, 36, 702 Calculator

Given Input numbers are 219, 327, 36, 702

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

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (219, 327, 36, 702) = 3.

Given numbers are 219, 327, 36, 702

The list of prime factors of all numbers are

Prime factors of 219 are 3 x 73

Prime factors of 327 are 3 x 109

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 219, 327, 36, 702 is 3.

Given numbers are 219, 327, 36, 702

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

Apply this formula for all numbers.

Step1:

LCM(219, 327) = 23871

GCD(219, 327) = ( 219 x 327 ) / 23871

= 219 / 327

= 219

Step2:

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

= 3 / 36

= 3

Step3:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

So, Greatest Common Divisor of 219, 327, 36, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 558, 48, 358
• GCD of 578, 255, 16, 392
• GCD of 886, 731, 29, 957
• GCD of 914, 564, 49, 280
• GCD of 255, 665, 11, 844

Given numbers are 219, 327, 36, 702
The greatest common divisor of numbers 219, 327, 36, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 219, 327, 36, 702 is 3.

1. What is the GCD of 219, 327, 36, 702?

GCD of given numbers 219, 327, 36, 702 is 3

2. How to calculate the greatest common divisor of 219, 327, 36, 702?

We can find the highest common divisor of 219, 327, 36, 702 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 219, 327, 36, 702 i.e 3.

3. How can I use the GCD of 219, 327, 36, 702Calculator?

Out the numbers 219, 327, 36, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.