GCD of 209, 272, 365, 691 Calculator

Given Input numbers are 209, 272, 365, 691

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

GCD of numbers is the greatest common divisor

So, the GCD (209, 272, 365, 691) = 1.

Given numbers are 209, 272, 365, 691

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 365 are 5 x 73

Prime factors of 691 are 691

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

Given numbers are 209, 272, 365, 691

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

Apply this formula for all numbers.

Step1:

LCM(209, 272) = 56848

GCD(209, 272) = ( 209 x 272 ) / 56848

= 209 / 272

= 209

Step2:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1

Step3:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1

So, Greatest Common Divisor of 209, 272, 365, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 136, 785, 181
• GCD of 241, 433, 582, 120
• GCD of 382, 329, 319, 223
• GCD of 737, 522, 266, 883
• GCD of 391, 445, 400, 641

Given numbers are 209, 272, 365, 691
The greatest common divisor of numbers 209, 272, 365, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 272, 365, 691 is 1.

1. What is the GCD of 209, 272, 365, 691?

GCD of given numbers 209, 272, 365, 691 is 1

2. How to calculate the greatest common divisor of 209, 272, 365, 691?

We can find the highest common divisor of 209, 272, 365, 691 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, 272, 365, 691 i.e 1.

3. How can I use the GCD of 209, 272, 365, 691Calculator?

Out the numbers 209, 272, 365, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.