GCD of 238, 123, 600, 458 Calculator

Given Input numbers are 238, 123, 600, 458

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (238, 123, 600, 458) = 1.

Given numbers are 238, 123, 600, 458

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 123 are 3 x 41

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 458 are 2 x 229

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

Given numbers are 238, 123, 600, 458

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

Apply this formula for all numbers.

Step1:

LCM(238, 123) = 29274

GCD(238, 123) = ( 238 x 123 ) / 29274

= 238 / 123

= 238

Step2:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

Step3:

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

= 1 / 458

= 1

So, Greatest Common Divisor of 238, 123, 600, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 954, 159, 952
• GCD of 708, 666, 107, 417
• GCD of 638, 720, 825, 420
• GCD of 469, 874, 500, 900
• GCD of 220, 971, 859, 195

Given numbers are 238, 123, 600, 458
The greatest common divisor of numbers 238, 123, 600, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 123, 600, 458 is 1.

1. What is the GCD of 238, 123, 600, 458?

GCD of given numbers 238, 123, 600, 458 is 1

2. How to calculate the greatest common divisor of 238, 123, 600, 458?

We can find the highest common divisor of 238, 123, 600, 458 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 238, 123, 600, 458 i.e 1.

3. How can I use the GCD of 238, 123, 600, 458Calculator?

Out the numbers 238, 123, 600, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.