GCD of 209, 169, 321, 675 Calculator

Given Input numbers are 209, 169, 321, 675

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 169 :

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

1, 13, 169

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (209, 169, 321, 675) = 1.

Given numbers are 209, 169, 321, 675

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 169 are 13 x 13

Prime factors of 321 are 3 x 107

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 209, 169, 321, 675

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

Apply this formula for all numbers.

Step1:

LCM(209, 169) = 35321

GCD(209, 169) = ( 209 x 169 ) / 35321

= 209 / 169

= 209

Step2:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

So, Greatest Common Divisor of 209, 169, 321, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 107, 498, 836
• GCD of 524, 743, 969, 436
• GCD of 679, 418, 525, 558
• GCD of 111, 969, 294, 443
• GCD of 439, 379, 325, 529

Given numbers are 209, 169, 321, 675
The greatest common divisor of numbers 209, 169, 321, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 169, 321, 675 is 1.

1. What is the GCD of 209, 169, 321, 675?

GCD of given numbers 209, 169, 321, 675 is 1

2. How to calculate the greatest common divisor of 209, 169, 321, 675?

We can find the highest common divisor of 209, 169, 321, 675 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 209, 169, 321, 675 i.e 1.

3. How can I use the GCD of 209, 169, 321, 675Calculator?

Out the numbers 209, 169, 321, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.