GCD of 32, 72, 78, 10 Calculator

Given Input numbers are 32, 72, 78, 10

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

Divisors of 32 :

The positive integer divisors of 32 that completely divides 32 are.

1, 2, 4, 8, 16, 32

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 78 :

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

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

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

GCD of numbers is the greatest common divisor

So, the GCD (32, 72, 78, 10) = 2.

Given numbers are 32, 72, 78, 10

The list of prime factors of all numbers are

Prime factors of 32 are 2 x 2 x 2 x 2 x 2

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 78 are 2 x 3 x 13

Prime factors of 10 are 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 32, 72, 78, 10 is 2.

Given numbers are 32, 72, 78, 10

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

Apply this formula for all numbers.

Step1:

LCM(32, 72) = 288

GCD(32, 72) = ( 32 x 72 ) / 288

= 32 / 72

= 32

Step2:

LCM(8, 78) = 312

GCD(8, 78) = ( 8 x 78 ) / 312

= 8 / 78

= 8

Step3:

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

= 2 / 10

= 2

So, Greatest Common Divisor of 32, 72, 78, 10 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 84, 70, 44
• GCD of 34, 36, 37, 14
• GCD of 92, 73, 90, 63
• GCD of 79, 76, 82, 28
• GCD of 12, 41, 59, 85

Given numbers are 32, 72, 78, 10
The greatest common divisor of numbers 32, 72, 78, 10 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 32, 72, 78, 10 is 2.

1. What is the GCD of 32, 72, 78, 10?

GCD of given numbers 32, 72, 78, 10 is 2

2. How to calculate the greatest common divisor of 32, 72, 78, 10?

We can find the highest common divisor of 32, 72, 78, 10 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 32, 72, 78, 10 i.e 2.

3. How can I use the GCD of 32, 72, 78, 10Calculator?

Out the numbers 32, 72, 78, 10 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.