GCD of 509, 946, 163, 198 Calculator

Given Input numbers are 509, 946, 163, 198

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 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 163 :

The positive integer divisors of 163 that completely divides 163 are.

1, 163

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (509, 946, 163, 198) = 1.

Given numbers are 509, 946, 163, 198

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 946 are 2 x 11 x 43

Prime factors of 163 are 163

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 509, 946, 163, 198

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

Apply this formula for all numbers.

Step1:

LCM(509, 946) = 481514

GCD(509, 946) = ( 509 x 946 ) / 481514

= 509 / 946

= 509

Step2:

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

= 1 / 163

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 509, 946, 163, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 727, 961, 536
• GCD of 779, 444, 959, 958
• GCD of 196, 848, 361, 749
• GCD of 833, 803, 456, 432
• GCD of 419, 524, 388, 475

Given numbers are 509, 946, 163, 198
The greatest common divisor of numbers 509, 946, 163, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 946, 163, 198 is 1.

1. What is the GCD of 509, 946, 163, 198?

GCD of given numbers 509, 946, 163, 198 is 1

2. How to calculate the greatest common divisor of 509, 946, 163, 198?

We can find the highest common divisor of 509, 946, 163, 198 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, 946, 163, 198 i.e 1.

3. How can I use the GCD of 509, 946, 163, 198Calculator?

Out the numbers 509, 946, 163, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.