GCD of 78, 72, 45, 75 Calculator

Given Input numbers are 78, 72, 45, 75

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 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 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

GCD of numbers is the greatest common divisor

So, the GCD (78, 72, 45, 75) = 3.

Given numbers are 78, 72, 45, 75

The list of prime factors of all numbers are

Prime factors of 78 are 2 x 3 x 13

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

Prime factors of 45 are 3 x 3 x 5

Prime factors of 75 are 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 78, 72, 45, 75 is 3.

Given numbers are 78, 72, 45, 75

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

Apply this formula for all numbers.

Step1:

LCM(78, 72) = 936

GCD(78, 72) = ( 78 x 72 ) / 936

= 78 / 72

= 78

Step2:

LCM(6, 45) = 90

GCD(6, 45) = ( 6 x 45 ) / 90

= 6 / 45

= 6

Step3:

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

= 3 / 75

= 3

So, Greatest Common Divisor of 78, 72, 45, 75 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 30, 58, 60
• GCD of 98, 51, 83, 93
• GCD of 13, 72, 98, 80
• GCD of 30, 26, 69, 57
• GCD of 36, 94, 16, 78

Given numbers are 78, 72, 45, 75
The greatest common divisor of numbers 78, 72, 45, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 78, 72, 45, 75 is 3.

1. What is the GCD of 78, 72, 45, 75?

GCD of given numbers 78, 72, 45, 75 is 3

2. How to calculate the greatest common divisor of 78, 72, 45, 75?

We can find the highest common divisor of 78, 72, 45, 75 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, 72, 45, 75 i.e 3.

3. How can I use the GCD of 78, 72, 45, 75Calculator?

Out the numbers 78, 72, 45, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.