GCD of 231, 548, 100, 509 Calculator

Given Input numbers are 231, 548, 100, 509

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 (231, 548, 100, 509) = 1.

Given numbers are 231, 548, 100, 509

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 548 are 2 x 2 x 137

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 509 are 509

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

Given numbers are 231, 548, 100, 509

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

Apply this formula for all numbers.

Step1:

LCM(231, 548) = 126588

GCD(231, 548) = ( 231 x 548 ) / 126588

= 231 / 548

= 231

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 231, 548, 100, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 286, 478, 710
• GCD of 301, 225, 658, 874
• GCD of 141, 549, 416, 360
• GCD of 200, 903, 297, 126
• GCD of 664, 614, 192, 559

Given numbers are 231, 548, 100, 509
The greatest common divisor of numbers 231, 548, 100, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 548, 100, 509 is 1.

1. What is the GCD of 231, 548, 100, 509?

GCD of given numbers 231, 548, 100, 509 is 1

2. How to calculate the greatest common divisor of 231, 548, 100, 509?

We can find the highest common divisor of 231, 548, 100, 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 231, 548, 100, 509 i.e 1.

3. How can I use the GCD of 231, 548, 100, 509Calculator?

Out the numbers 231, 548, 100, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.