GCD of 509, 144, 164, 338 Calculator

Given Input numbers are 509, 144, 164, 338

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 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 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (509, 144, 164, 338) = 1.

Given numbers are 509, 144, 164, 338

The list of prime factors of all numbers are

Prime factors of 509 are 509

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

Prime factors of 164 are 2 x 2 x 41

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 509, 144, 164, 338

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

Apply this formula for all numbers.

Step1:

LCM(509, 144) = 73296

GCD(509, 144) = ( 509 x 144 ) / 73296

= 509 / 144

= 509

Step2:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 509, 144, 164, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 977, 371, 743
• GCD of 627, 297, 798, 318
• GCD of 693, 392, 783, 745
• GCD of 783, 897, 279, 573
• GCD of 428, 223, 870, 235

Given numbers are 509, 144, 164, 338
The greatest common divisor of numbers 509, 144, 164, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 144, 164, 338 is 1.

1. What is the GCD of 509, 144, 164, 338?

GCD of given numbers 509, 144, 164, 338 is 1

2. How to calculate the greatest common divisor of 509, 144, 164, 338?

We can find the highest common divisor of 509, 144, 164, 338 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, 144, 164, 338 i.e 1.

3. How can I use the GCD of 509, 144, 164, 338Calculator?

Out the numbers 509, 144, 164, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.