GCD of 238, 824, 242, 580 Calculator

Given Input numbers are 238, 824, 242, 580

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (238, 824, 242, 580) = 2.

Given numbers are 238, 824, 242, 580

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 242 are 2 x 11 x 11

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 238, 824, 242, 580 is 2.

Given numbers are 238, 824, 242, 580

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

Apply this formula for all numbers.

Step1:

LCM(238, 824) = 98056

GCD(238, 824) = ( 238 x 824 ) / 98056

= 238 / 824

= 238

Step2:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

Step3:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

So, Greatest Common Divisor of 238, 824, 242, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 834, 578, 628
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Given numbers are 238, 824, 242, 580
The greatest common divisor of numbers 238, 824, 242, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 824, 242, 580 is 2.

1. What is the GCD of 238, 824, 242, 580?

GCD of given numbers 238, 824, 242, 580 is 2

2. How to calculate the greatest common divisor of 238, 824, 242, 580?

We can find the highest common divisor of 238, 824, 242, 580 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, 824, 242, 580 i.e 2.

3. How can I use the GCD of 238, 824, 242, 580Calculator?

Out the numbers 238, 824, 242, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.