GCD of 509, 242, 864, 156 Calculator

Given Input numbers are 509, 242, 864, 156

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

Divisors of 509 :

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

1, 509

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (509, 242, 864, 156) = 1.

Given numbers are 509, 242, 864, 156

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 242 are 2 x 11 x 11

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 156 are 2 x 2 x 3 x 13

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

Given numbers are 509, 242, 864, 156

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

Apply this formula for all numbers.

Step1:

LCM(509, 242) = 123178

GCD(509, 242) = ( 509 x 242 ) / 123178

= 509 / 242

= 509

Step2:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

Step3:

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

= 1 / 156

= 1

So, Greatest Common Divisor of 509, 242, 864, 156 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 193, 505, 221
• GCD of 304, 255, 259, 695
• GCD of 526, 584, 766, 216
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• GCD of 801, 295, 351, 282

Given numbers are 509, 242, 864, 156
The greatest common divisor of numbers 509, 242, 864, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 242, 864, 156 is 1.

1. What is the GCD of 509, 242, 864, 156?

GCD of given numbers 509, 242, 864, 156 is 1

2. How to calculate the greatest common divisor of 509, 242, 864, 156?

We can find the highest common divisor of 509, 242, 864, 156 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 509, 242, 864, 156 i.e 1.

3. How can I use the GCD of 509, 242, 864, 156Calculator?

Out the numbers 509, 242, 864, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.