GCD of 338, 314, 376, 591 Calculator

Given Input numbers are 338, 314, 376, 591

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

GCD of numbers is the greatest common divisor

So, the GCD (338, 314, 376, 591) = 1.

Given numbers are 338, 314, 376, 591

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 314 are 2 x 157

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 591 are 3 x 197

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

Given numbers are 338, 314, 376, 591

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

Apply this formula for all numbers.

Step1:

LCM(338, 314) = 53066

GCD(338, 314) = ( 338 x 314 ) / 53066

= 338 / 314

= 338

Step2:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2

Step3:

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

= 2 / 591

= 2

So, Greatest Common Divisor of 338, 314, 376, 591 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 738, 846, 123
• GCD of 679, 369, 285, 312
• GCD of 204, 206, 444, 535
• GCD of 378, 990, 840, 183
• GCD of 778, 254, 756, 832

Given numbers are 338, 314, 376, 591
The greatest common divisor of numbers 338, 314, 376, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 314, 376, 591 is 1.

1. What is the GCD of 338, 314, 376, 591?

GCD of given numbers 338, 314, 376, 591 is 1

2. How to calculate the greatest common divisor of 338, 314, 376, 591?

We can find the highest common divisor of 338, 314, 376, 591 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, 314, 376, 591 i.e 1.

3. How can I use the GCD of 338, 314, 376, 591Calculator?

Out the numbers 338, 314, 376, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.