GCD of 271, 514, 72, 550 Calculator

Given Input numbers are 271, 514, 72, 550

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

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (271, 514, 72, 550) = 1.

Given numbers are 271, 514, 72, 550

The list of prime factors of all numbers are

Prime factors of 271 are 271

Prime factors of 514 are 2 x 257

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 550 are 2 x 5 x 5 x 11

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

Given numbers are 271, 514, 72, 550

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

Apply this formula for all numbers.

Step1:

LCM(271, 514) = 139294

GCD(271, 514) = ( 271 x 514 ) / 139294

= 271 / 514

= 271

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

Step3:

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

= 1 / 550

= 1

So, Greatest Common Divisor of 271, 514, 72, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 304, 89, 584
• GCD of 687, 933, 90, 244
• GCD of 293, 160, 54, 240
• GCD of 828, 151, 66, 939
• GCD of 758, 959, 12, 277

Given numbers are 271, 514, 72, 550
The greatest common divisor of numbers 271, 514, 72, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 514, 72, 550 is 1.

1. What is the GCD of 271, 514, 72, 550?

GCD of given numbers 271, 514, 72, 550 is 1

2. How to calculate the greatest common divisor of 271, 514, 72, 550?

We can find the highest common divisor of 271, 514, 72, 550 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 271, 514, 72, 550 i.e 1.

3. How can I use the GCD of 271, 514, 72, 550Calculator?

Out the numbers 271, 514, 72, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.