GCD of 536, 272, 209, 369 Calculator

Given Input numbers are 536, 272, 209, 369

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

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 209 :

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

1, 11, 19, 209

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (536, 272, 209, 369) = 1.

Given numbers are 536, 272, 209, 369

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

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

Prime factors of 209 are 11 x 19

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 536, 272, 209, 369

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

Apply this formula for all numbers.

Step1:

LCM(536, 272) = 18224

GCD(536, 272) = ( 536 x 272 ) / 18224

= 536 / 272

= 536

Step2:

LCM(8, 209) = 1672

GCD(8, 209) = ( 8 x 209 ) / 1672

= 8 / 209

= 8

Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1

So, Greatest Common Divisor of 536, 272, 209, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 597, 993, 990
• GCD of 444, 353, 304, 932
• GCD of 342, 620, 344, 159
• GCD of 266, 190, 778, 498
• GCD of 296, 268, 435, 156

Given numbers are 536, 272, 209, 369
The greatest common divisor of numbers 536, 272, 209, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 272, 209, 369 is 1.

1. What is the GCD of 536, 272, 209, 369?

GCD of given numbers 536, 272, 209, 369 is 1

2. How to calculate the greatest common divisor of 536, 272, 209, 369?

We can find the highest common divisor of 536, 272, 209, 369 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 536, 272, 209, 369 i.e 1.

3. How can I use the GCD of 536, 272, 209, 369Calculator?

Out the numbers 536, 272, 209, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.