GCD of 238, 494, 715, 338 Calculator

Given Input numbers are 238, 494, 715, 338

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 494 :

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

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

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (238, 494, 715, 338) = 1.

Given numbers are 238, 494, 715, 338

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 494 are 2 x 13 x 19

Prime factors of 715 are 5 x 11 x 13

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 238, 494, 715, 338

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

Apply this formula for all numbers.

Step1:

LCM(238, 494) = 58786

GCD(238, 494) = ( 238 x 494 ) / 58786

= 238 / 494

= 238

Step2:

LCM(2, 715) = 1430

GCD(2, 715) = ( 2 x 715 ) / 1430

= 2 / 715

= 2

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 238, 494, 715, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 831, 353, 553
• GCD of 377, 139, 841, 575
• GCD of 791, 168, 145, 805
• GCD of 751, 392, 678, 226
• GCD of 860, 206, 296, 202

Given numbers are 238, 494, 715, 338
The greatest common divisor of numbers 238, 494, 715, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 494, 715, 338 is 1.

1. What is the GCD of 238, 494, 715, 338?

GCD of given numbers 238, 494, 715, 338 is 1

2. How to calculate the greatest common divisor of 238, 494, 715, 338?

We can find the highest common divisor of 238, 494, 715, 338 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, 494, 715, 338 i.e 1.

3. How can I use the GCD of 238, 494, 715, 338Calculator?

Out the numbers 238, 494, 715, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.