GCD of 72, 76, 64, 78 Calculator

Given Input numbers are 72, 76, 64, 78

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

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 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 78 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (72, 76, 64, 78) = 2.

Given numbers are 72, 76, 64, 78

The list of prime factors of all numbers are

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

Prime factors of 76 are 2 x 2 x 19

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 78 are 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 72, 76, 64, 78 is 2.

Given numbers are 72, 76, 64, 78

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

Apply this formula for all numbers.

Step1:

LCM(72, 76) = 1368

GCD(72, 76) = ( 72 x 76 ) / 1368

= 72 / 76

= 72

Step2:

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

= 4 / 64

= 4

Step3:

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

= 4 / 78

= 4

So, Greatest Common Divisor of 72, 76, 64, 78 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 48, 87, 21
• GCD of 12, 85, 90, 70
• GCD of 15, 40, 99, 99
• GCD of 91, 97, 68, 85
• GCD of 15, 51, 56, 37

Given numbers are 72, 76, 64, 78
The greatest common divisor of numbers 72, 76, 64, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 72, 76, 64, 78 is 2.

1. What is the GCD of 72, 76, 64, 78?

GCD of given numbers 72, 76, 64, 78 is 2

2. How to calculate the greatest common divisor of 72, 76, 64, 78?

We can find the highest common divisor of 72, 76, 64, 78 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 72, 76, 64, 78 i.e 2.

3. How can I use the GCD of 72, 76, 64, 78Calculator?

Out the numbers 72, 76, 64, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.