GCD of 238, 724, 558, 380 Calculator

Given Input numbers are 238, 724, 558, 380

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (238, 724, 558, 380) = 2.

Given numbers are 238, 724, 558, 380

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 724 are 2 x 2 x 181

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 238, 724, 558, 380 is 2.

Given numbers are 238, 724, 558, 380

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

Apply this formula for all numbers.

Step1:

LCM(238, 724) = 86156

GCD(238, 724) = ( 238 x 724 ) / 86156

= 238 / 724

= 238

Step2:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 238, 724, 558, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 739, 671, 782
• GCD of 340, 397, 371, 481
• GCD of 352, 160, 435, 111
• GCD of 803, 175, 412, 852
• GCD of 484, 207, 927, 618

Given numbers are 238, 724, 558, 380
The greatest common divisor of numbers 238, 724, 558, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 724, 558, 380 is 2.

1. What is the GCD of 238, 724, 558, 380?

GCD of given numbers 238, 724, 558, 380 is 2

2. How to calculate the greatest common divisor of 238, 724, 558, 380?

We can find the highest common divisor of 238, 724, 558, 380 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, 724, 558, 380 i.e 2.

3. How can I use the GCD of 238, 724, 558, 380Calculator?

Out the numbers 238, 724, 558, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.