GCD of 338, 312, 315, 242 Calculator

Given Input numbers are 338, 312, 315, 242

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (338, 312, 315, 242) = 1.

Given numbers are 338, 312, 315, 242

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 338, 312, 315, 242

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

Apply this formula for all numbers.

Step1:

LCM(338, 312) = 4056

GCD(338, 312) = ( 338 x 312 ) / 4056

= 338 / 312

= 338

Step2:

LCM(26, 315) = 8190

GCD(26, 315) = ( 26 x 315 ) / 8190

= 26 / 315

= 26

Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

So, Greatest Common Divisor of 338, 312, 315, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 854, 100, 911
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Given numbers are 338, 312, 315, 242
The greatest common divisor of numbers 338, 312, 315, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 312, 315, 242 is 1.

1. What is the GCD of 338, 312, 315, 242?

GCD of given numbers 338, 312, 315, 242 is 1

2. How to calculate the greatest common divisor of 338, 312, 315, 242?

We can find the highest common divisor of 338, 312, 315, 242 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 338, 312, 315, 242 i.e 1.

3. How can I use the GCD of 338, 312, 315, 242Calculator?

Out the numbers 338, 312, 315, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.