GCD of 31, 67, 43, 14 Calculator

Given Input numbers are 31, 67, 43, 14

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

Divisors of 31 :

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

1, 31

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67

Divisors of 43 :

The positive integer divisors of 43 that completely divides 43 are.

1, 43

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 (31, 67, 43, 14) = 1.

Given numbers are 31, 67, 43, 14

The list of prime factors of all numbers are

Prime factors of 31 are 31

Prime factors of 67 are 67

Prime factors of 43 are 43

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 31, 67, 43, 14

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

Apply this formula for all numbers.

Step1:

LCM(31, 67) = 2077

GCD(31, 67) = ( 31 x 67 ) / 2077

= 31 / 67

= 31

Step2:

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

= 1 / 43

= 1

Step3:

LCM(1, 14) = 14

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

= 1 / 14

= 1

So, Greatest Common Divisor of 31, 67, 43, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 39, 71, 32
• GCD of 78, 41, 85, 51
• GCD of 71, 13, 10, 79
• GCD of 75, 78, 84, 95
• GCD of 43, 73, 81, 37

Given numbers are 31, 67, 43, 14
The greatest common divisor of numbers 31, 67, 43, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 31, 67, 43, 14 is 1.

1. What is the GCD of 31, 67, 43, 14?

GCD of given numbers 31, 67, 43, 14 is 1

2. How to calculate the greatest common divisor of 31, 67, 43, 14?

We can find the highest common divisor of 31, 67, 43, 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 31, 67, 43, 14 i.e 1.

3. How can I use the GCD of 31, 67, 43, 14Calculator?

Out the numbers 31, 67, 43, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.