GCD of 82, 78, 15, 13 Calculator

Given Input numbers are 82, 78, 15, 13

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

Divisors of 82 :

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

1, 2, 41, 82

Divisors of 78 :

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

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

Divisors of 15 :

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

1, 3, 5, 15

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

GCD of numbers is the greatest common divisor

So, the GCD (82, 78, 15, 13) = 1.

Given numbers are 82, 78, 15, 13

The list of prime factors of all numbers are

Prime factors of 82 are 2 x 41

Prime factors of 78 are 2 x 3 x 13

Prime factors of 15 are 3 x 5

Prime factors of 13 are 13

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

Given numbers are 82, 78, 15, 13

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

Apply this formula for all numbers.

Step1:

LCM(82, 78) = 3198

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

= 82 / 78

= 82

Step2:

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

= 2 / 15

= 2

Step3:

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

= 1 / 13

= 1

So, Greatest Common Divisor of 82, 78, 15, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 47, 26, 49
• GCD of 98, 51, 76, 27
• GCD of 19, 61, 72, 76
• GCD of 23, 56, 57, 17
• GCD of 43, 51, 58, 93

Given numbers are 82, 78, 15, 13
The greatest common divisor of numbers 82, 78, 15, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 82, 78, 15, 13 is 1.

1. What is the GCD of 82, 78, 15, 13?

GCD of given numbers 82, 78, 15, 13 is 1

2. How to calculate the greatest common divisor of 82, 78, 15, 13?

We can find the highest common divisor of 82, 78, 15, 13 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 82, 78, 15, 13 i.e 1.

3. How can I use the GCD of 82, 78, 15, 13Calculator?

Out the numbers 82, 78, 15, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.