GCD of 458, 704, 22, 238 Calculator

Given Input numbers are 458, 704, 22, 238

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

Divisors of 458 :

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

1, 2, 229, 458

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 238 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (458, 704, 22, 238) = 2.

Given numbers are 458, 704, 22, 238

The list of prime factors of all numbers are

Prime factors of 458 are 2 x 229

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 22 are 2 x 11

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 458, 704, 22, 238 is 2.

Given numbers are 458, 704, 22, 238

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

Apply this formula for all numbers.

Step1:

LCM(458, 704) = 161216

GCD(458, 704) = ( 458 x 704 ) / 161216

= 458 / 704

= 458

Step2:

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

= 2 / 22

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 458, 704, 22, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 945, 36, 449
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• GCD of 843, 689, 96, 104
• GCD of 867, 744, 80, 357

Given numbers are 458, 704, 22, 238
The greatest common divisor of numbers 458, 704, 22, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 704, 22, 238 is 2.

1. What is the GCD of 458, 704, 22, 238?

GCD of given numbers 458, 704, 22, 238 is 2

2. How to calculate the greatest common divisor of 458, 704, 22, 238?

We can find the highest common divisor of 458, 704, 22, 238 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 458, 704, 22, 238 i.e 2.

3. How can I use the GCD of 458, 704, 22, 238Calculator?

Out the numbers 458, 704, 22, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.