GCD of 123, 624, 242, 507 Calculator

Given Input numbers are 123, 624, 242, 507

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (123, 624, 242, 507) = 1.

Given numbers are 123, 624, 242, 507

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 242 are 2 x 11 x 11

Prime factors of 507 are 3 x 13 x 13

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

Given numbers are 123, 624, 242, 507

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

Apply this formula for all numbers.

Step1:

LCM(123, 624) = 25584

GCD(123, 624) = ( 123 x 624 ) / 25584

= 123 / 624

= 123

Step2:

LCM(3, 242) = 726

GCD(3, 242) = ( 3 x 242 ) / 726

= 3 / 242

= 3

Step3:

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

= 1 / 507

= 1

So, Greatest Common Divisor of 123, 624, 242, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 961, 928, 185
• GCD of 376, 686, 115, 451
• GCD of 828, 720, 575, 298
• GCD of 422, 894, 627, 967
• GCD of 891, 903, 863, 938

Given numbers are 123, 624, 242, 507
The greatest common divisor of numbers 123, 624, 242, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 624, 242, 507 is 1.

1. What is the GCD of 123, 624, 242, 507?

GCD of given numbers 123, 624, 242, 507 is 1

2. How to calculate the greatest common divisor of 123, 624, 242, 507?

We can find the highest common divisor of 123, 624, 242, 507 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 123, 624, 242, 507 i.e 1.

3. How can I use the GCD of 123, 624, 242, 507Calculator?

Out the numbers 123, 624, 242, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.