GCD of 351, 385, 31, 564 Calculator

Given Input numbers are 351, 385, 31, 564

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (351, 385, 31, 564) = 1.

Given numbers are 351, 385, 31, 564

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 385 are 5 x 7 x 11

Prime factors of 31 are 31

Prime factors of 564 are 2 x 2 x 3 x 47

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

Given numbers are 351, 385, 31, 564

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

Apply this formula for all numbers.

Step1:

LCM(351, 385) = 135135

GCD(351, 385) = ( 351 x 385 ) / 135135

= 351 / 385

= 351

Step2:

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

= 1 / 31

= 1

Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

So, Greatest Common Divisor of 351, 385, 31, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 279, 16, 128
• GCD of 256, 757, 22, 454
• GCD of 156, 164, 40, 103
• GCD of 386, 238, 75, 556
• GCD of 365, 986, 82, 375

Given numbers are 351, 385, 31, 564
The greatest common divisor of numbers 351, 385, 31, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 385, 31, 564 is 1.

1. What is the GCD of 351, 385, 31, 564?

GCD of given numbers 351, 385, 31, 564 is 1

2. How to calculate the greatest common divisor of 351, 385, 31, 564?

We can find the highest common divisor of 351, 385, 31, 564 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 351, 385, 31, 564 i.e 1.

3. How can I use the GCD of 351, 385, 31, 564Calculator?

Out the numbers 351, 385, 31, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.