GCD of 538, 313, 378, 311 Calculator

Given Input numbers are 538, 313, 378, 311

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (538, 313, 378, 311) = 1.

Given numbers are 538, 313, 378, 311

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 313 are 313

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 311 are 311

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

Given numbers are 538, 313, 378, 311

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

Apply this formula for all numbers.

Step1:

LCM(538, 313) = 168394

GCD(538, 313) = ( 538 x 313 ) / 168394

= 538 / 313

= 538

Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

Step3:

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

= 1 / 311

= 1

So, Greatest Common Divisor of 538, 313, 378, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 914, 406, 300
• GCD of 150, 910, 971, 418
• GCD of 457, 534, 882, 938
• GCD of 567, 315, 430, 190
• GCD of 225, 844, 825, 479

Given numbers are 538, 313, 378, 311
The greatest common divisor of numbers 538, 313, 378, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 313, 378, 311 is 1.

1. What is the GCD of 538, 313, 378, 311?

GCD of given numbers 538, 313, 378, 311 is 1

2. How to calculate the greatest common divisor of 538, 313, 378, 311?

We can find the highest common divisor of 538, 313, 378, 311 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 538, 313, 378, 311 i.e 1.

3. How can I use the GCD of 538, 313, 378, 311Calculator?

Out the numbers 538, 313, 378, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.