GCD of 533, 309, 269, 360 Calculator

Given Input numbers are 533, 309, 269, 360

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

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (533, 309, 269, 360) = 1.

Given numbers are 533, 309, 269, 360

The list of prime factors of all numbers are

Prime factors of 533 are 13 x 41

Prime factors of 309 are 3 x 103

Prime factors of 269 are 269

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 533, 309, 269, 360

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

Apply this formula for all numbers.

Step1:

LCM(533, 309) = 164697

GCD(533, 309) = ( 533 x 309 ) / 164697

= 533 / 309

= 533

Step2:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 533, 309, 269, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 247, 362, 483
• GCD of 406, 571, 388, 264
• GCD of 272, 516, 984, 310
• GCD of 962, 102, 349, 515
• GCD of 598, 417, 684, 943

Given numbers are 533, 309, 269, 360
The greatest common divisor of numbers 533, 309, 269, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 533, 309, 269, 360 is 1.

1. What is the GCD of 533, 309, 269, 360?

GCD of given numbers 533, 309, 269, 360 is 1

2. How to calculate the greatest common divisor of 533, 309, 269, 360?

We can find the highest common divisor of 533, 309, 269, 360 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 533, 309, 269, 360 i.e 1.

3. How can I use the GCD of 533, 309, 269, 360Calculator?

Out the numbers 533, 309, 269, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.