GCD of 37, 15, 31, 14 Calculator

Given Input numbers are 37, 15, 31, 14

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

Divisors of 37 :

The positive integer divisors of 37 that completely divides 37 are.

1, 37

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 31 :

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

1, 31

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

GCD of numbers is the greatest common divisor

So, the GCD (37, 15, 31, 14) = 1.

Given numbers are 37, 15, 31, 14

The list of prime factors of all numbers are

Prime factors of 37 are 37

Prime factors of 15 are 3 x 5

Prime factors of 31 are 31

Prime factors of 14 are 2 x 7

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

Given numbers are 37, 15, 31, 14

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

Apply this formula for all numbers.

Step1:

LCM(37, 15) = 555

GCD(37, 15) = ( 37 x 15 ) / 555

= 37 / 15

= 37

Step2:

LCM(1, 31) = 31

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

= 1 / 31

= 1

Step3:

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

= 1 / 14

= 1

So, Greatest Common Divisor of 37, 15, 31, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 39, 33, 42
• GCD of 85, 11, 22, 26
• GCD of 36, 17, 32, 53
• GCD of 53, 86, 85, 39
• GCD of 68, 23, 67, 84

Given numbers are 37, 15, 31, 14
The greatest common divisor of numbers 37, 15, 31, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 37, 15, 31, 14 is 1.

1. What is the GCD of 37, 15, 31, 14?

GCD of given numbers 37, 15, 31, 14 is 1

2. How to calculate the greatest common divisor of 37, 15, 31, 14?

We can find the highest common divisor of 37, 15, 31, 14 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 37, 15, 31, 14 i.e 1.

3. How can I use the GCD of 37, 15, 31, 14Calculator?

Out the numbers 37, 15, 31, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.