GCD of 123, 516, 742, 918 Calculator

Given Input numbers are 123, 516, 742, 918

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (123, 516, 742, 918) = 1.

Given numbers are 123, 516, 742, 918

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 742 are 2 x 7 x 53

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Given numbers are 123, 516, 742, 918

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

Apply this formula for all numbers.

Step1:

LCM(123, 516) = 21156

GCD(123, 516) = ( 123 x 516 ) / 21156

= 123 / 516

= 123

Step2:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

So, Greatest Common Divisor of 123, 516, 742, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 651, 924, 833
• GCD of 490, 488, 185, 190
• GCD of 641, 917, 731, 703
• GCD of 822, 323, 808, 656
• GCD of 568, 607, 906, 712

Given numbers are 123, 516, 742, 918
The greatest common divisor of numbers 123, 516, 742, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 516, 742, 918 is 1.

1. What is the GCD of 123, 516, 742, 918?

GCD of given numbers 123, 516, 742, 918 is 1

2. How to calculate the greatest common divisor of 123, 516, 742, 918?

We can find the highest common divisor of 123, 516, 742, 918 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, 516, 742, 918 i.e 1.

3. How can I use the GCD of 123, 516, 742, 918Calculator?

Out the numbers 123, 516, 742, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.