GCD of 69, 60, 18, 75 Calculator

Given Input numbers are 69, 60, 18, 75

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

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

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 (69, 60, 18, 75) = 3.

Given numbers are 69, 60, 18, 75

The list of prime factors of all numbers are

Prime factors of 69 are 3 x 23

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 18 are 2 x 3 x 3

Prime factors of 75 are 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 69, 60, 18, 75 is 3.

Given numbers are 69, 60, 18, 75

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

Apply this formula for all numbers.

Step1:

LCM(69, 60) = 1380

GCD(69, 60) = ( 69 x 60 ) / 1380

= 69 / 60

= 69

Step2:

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

= 3 / 18

= 3

Step3:

LCM(3, 75) = 75

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

= 3 / 75

= 3

So, Greatest Common Divisor of 69, 60, 18, 75 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 67, 52, 49
• GCD of 52, 74, 98, 90
• GCD of 92, 51, 89, 85
• GCD of 34, 63, 97, 48
• GCD of 51, 47, 73, 86

Given numbers are 69, 60, 18, 75
The greatest common divisor of numbers 69, 60, 18, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 69, 60, 18, 75 is 3.

1. What is the GCD of 69, 60, 18, 75?

GCD of given numbers 69, 60, 18, 75 is 3

2. How to calculate the greatest common divisor of 69, 60, 18, 75?

We can find the highest common divisor of 69, 60, 18, 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 69, 60, 18, 75 i.e 3.

3. How can I use the GCD of 69, 60, 18, 75Calculator?

Out the numbers 69, 60, 18, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.