GCD of 264, 274, 144, 509 Calculator

Given Input numbers are 264, 274, 144, 509

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (264, 274, 144, 509) = 1.

Given numbers are 264, 274, 144, 509

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 274 are 2 x 137

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 509 are 509

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

Given numbers are 264, 274, 144, 509

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

Apply this formula for all numbers.

Step1:

LCM(264, 274) = 36168

GCD(264, 274) = ( 264 x 274 ) / 36168

= 264 / 274

= 264

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

So, Greatest Common Divisor of 264, 274, 144, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 698, 681, 780
• GCD of 990, 618, 866, 147
• GCD of 725, 231, 600, 925
• GCD of 573, 228, 672, 176
• GCD of 811, 947, 540, 818

Given numbers are 264, 274, 144, 509
The greatest common divisor of numbers 264, 274, 144, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 274, 144, 509 is 1.

1. What is the GCD of 264, 274, 144, 509?

GCD of given numbers 264, 274, 144, 509 is 1

2. How to calculate the greatest common divisor of 264, 274, 144, 509?

We can find the highest common divisor of 264, 274, 144, 509 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 264, 274, 144, 509 i.e 1.

3. How can I use the GCD of 264, 274, 144, 509Calculator?

Out the numbers 264, 274, 144, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.