GCD of 78, 82, 31, 90 Calculator

Given Input numbers are 78, 82, 31, 90

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

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 31 :

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

1, 31

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

GCD of numbers is the greatest common divisor

So, the GCD (78, 82, 31, 90) = 1.

Given numbers are 78, 82, 31, 90

The list of prime factors of all numbers are

Prime factors of 78 are 2 x 3 x 13

Prime factors of 82 are 2 x 41

Prime factors of 31 are 31

Prime factors of 90 are 2 x 3 x 3 x 5

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

Given numbers are 78, 82, 31, 90

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

Apply this formula for all numbers.

Step1:

LCM(78, 82) = 3198

GCD(78, 82) = ( 78 x 82 ) / 3198

= 78 / 82

= 78

Step2:

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

= 2 / 31

= 2

Step3:

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

= 1 / 90

= 1

So, Greatest Common Divisor of 78, 82, 31, 90 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 68, 65, 32
• GCD of 65, 40, 33, 62
• GCD of 54, 80, 56, 10
• GCD of 85, 67, 56, 45
• GCD of 43, 92, 57, 49

Given numbers are 78, 82, 31, 90
The greatest common divisor of numbers 78, 82, 31, 90 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 78, 82, 31, 90 is 1.

1. What is the GCD of 78, 82, 31, 90?

GCD of given numbers 78, 82, 31, 90 is 1

2. How to calculate the greatest common divisor of 78, 82, 31, 90?

We can find the highest common divisor of 78, 82, 31, 90 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 78, 82, 31, 90 i.e 1.

3. How can I use the GCD of 78, 82, 31, 90Calculator?

Out the numbers 78, 82, 31, 90 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.