GCD of 86, 36, 78, 28 Calculator

Given Input numbers are 86, 36, 78, 28

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

Divisors of 86 :

The positive integer divisors of 86 that completely divides 86 are.

1, 2, 43, 86

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 78 :

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

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

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

GCD of numbers is the greatest common divisor

So, the GCD (86, 36, 78, 28) = 2.

Given numbers are 86, 36, 78, 28

The list of prime factors of all numbers are

Prime factors of 86 are 2 x 43

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 78 are 2 x 3 x 13

Prime factors of 28 are 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 86, 36, 78, 28 is 2.

Given numbers are 86, 36, 78, 28

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

Apply this formula for all numbers.

Step1:

LCM(86, 36) = 1548

GCD(86, 36) = ( 86 x 36 ) / 1548

= 86 / 36

= 86

Step2:

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

= 2 / 78

= 2

Step3:

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

= 2 / 28

= 2

So, Greatest Common Divisor of 86, 36, 78, 28 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 46, 50, 26
• GCD of 56, 96, 88, 92
• GCD of 14, 48, 30, 20
• GCD of 26, 35, 22, 97
• GCD of 68, 55, 86, 44

Given numbers are 86, 36, 78, 28
The greatest common divisor of numbers 86, 36, 78, 28 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 86, 36, 78, 28 is 2.

1. What is the GCD of 86, 36, 78, 28?

GCD of given numbers 86, 36, 78, 28 is 2

2. How to calculate the greatest common divisor of 86, 36, 78, 28?

We can find the highest common divisor of 86, 36, 78, 28 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 86, 36, 78, 28 i.e 2.

3. How can I use the GCD of 86, 36, 78, 28Calculator?

Out the numbers 86, 36, 78, 28 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.