GCD of 238, 362, 494, 354 Calculator

Given Input numbers are 238, 362, 494, 354

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 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (238, 362, 494, 354) = 2.

Given numbers are 238, 362, 494, 354

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 362 are 2 x 181

Prime factors of 494 are 2 x 13 x 19

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 238, 362, 494, 354 is 2.

Given numbers are 238, 362, 494, 354

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

Apply this formula for all numbers.

Step1:

LCM(238, 362) = 43078

GCD(238, 362) = ( 238 x 362 ) / 43078

= 238 / 362

= 238

Step2:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

Step3:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 238, 362, 494, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 831, 765, 379
• GCD of 238, 905, 334, 383
• GCD of 738, 382, 805, 203
• GCD of 629, 668, 854, 603
• GCD of 326, 447, 652, 622

Given numbers are 238, 362, 494, 354
The greatest common divisor of numbers 238, 362, 494, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 362, 494, 354 is 2.

1. What is the GCD of 238, 362, 494, 354?

GCD of given numbers 238, 362, 494, 354 is 2

2. How to calculate the greatest common divisor of 238, 362, 494, 354?

We can find the highest common divisor of 238, 362, 494, 354 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, 362, 494, 354 i.e 2.

3. How can I use the GCD of 238, 362, 494, 354Calculator?

Out the numbers 238, 362, 494, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.