GCD of 69, 53, 49, 16 Calculator

Given Input numbers are 69, 53, 49, 16

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 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 69, 53, 49, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 53, 49, 16 is 1.

Therefore, GCD of numbers 69, 53, 49, 16 is 1

Given Input Data is 69, 53, 49, 16

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 53 is 53

Prime Factorization of 49 is 7 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

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, 53) = 3657

GCD(69, 53) = ( 69 x 53 ) / 3657

GCD(69, 53) = 3657 / 3657

GCD(69, 53) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

GCD of 69, 53, 49, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 55, 35, 75
• GCD of 30, 97, 32, 30
• GCD of 83, 66, 47, 83
• GCD of 12, 89, 10, 40
• GCD of 16, 57, 16, 70

1. What is the GCD of 69, 53, 49, 16?

GCD of 69, 53, 49, 16 is 1

2. Where do I get the detailed procedure to find GCD of 69, 53, 49, 16?

You can find a detailed procedure to find GCD of 69, 53, 49, 16 on our page.

3. How to find GCD of 69, 53, 49, 16 on a calculator?

You can find the GCD of 69, 53, 49, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.