GCD of 69, 45, 96, 69 Calculator

Given Input numbers are 69, 45, 96, 69

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 69, 45, 96, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 45, 96, 69 is 3.

Therefore, GCD of numbers 69, 45, 96, 69 is 3

Given Input Data is 69, 45, 96, 69

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 69 is 3 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 69 is 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(69, 45) = 1035

GCD(69, 45) = ( 69 x 45 ) / 1035

GCD(69, 45) = 3105 / 1035

GCD(69, 45) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

GCD of 69, 45, 96, 69 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 68, 60, 87
• GCD of 53, 97, 69, 51
• GCD of 61, 24, 98, 37
• GCD of 60, 93, 51, 15
• GCD of 90, 81, 79, 39

1. What is the GCD of 69, 45, 96, 69?

GCD of 69, 45, 96, 69 is 3

2. Where do I get the detailed procedure to find GCD of 69, 45, 96, 69?

You can find a detailed procedure to find GCD of 69, 45, 96, 69 on our page.

3. How to find GCD of 69, 45, 96, 69 on a calculator?

You can find the GCD of 69, 45, 96, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.