GCD of 216, 600, 169, 349 Calculator

Given Input numbers are 216, 600, 169, 349

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (216, 600, 169, 349) = 1.

Given numbers are 216, 600, 169, 349

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 169 are 13 x 13

Prime factors of 349 are 349

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 216, 600, 169, 349

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

Apply this formula for all numbers.

Step1:

LCM(216, 600) = 5400

GCD(216, 600) = ( 216 x 600 ) / 5400

= 216 / 600

= 216

Step2:

LCM(24, 169) = 4056

GCD(24, 169) = ( 24 x 169 ) / 4056

= 24 / 169

= 24

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 216, 600, 169, 349 is 1

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Given numbers are 216, 600, 169, 349
The greatest common divisor of numbers 216, 600, 169, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 600, 169, 349 is 1.

1. What is the GCD of 216, 600, 169, 349?

GCD of given numbers 216, 600, 169, 349 is 1

2. How to calculate the greatest common divisor of 216, 600, 169, 349?

We can find the highest common divisor of 216, 600, 169, 349 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 216, 600, 169, 349 i.e 1.

3. How can I use the GCD of 216, 600, 169, 349Calculator?

Out the numbers 216, 600, 169, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.