GCD of 35, 16, 38, 69 Calculator

Given Input numbers are 35, 16, 38, 69

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 35, 16, 38, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 16, 38, 69 is 1.

Therefore, GCD of numbers 35, 16, 38, 69 is 1

Given Input Data is 35, 16, 38, 69

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

Prime Factorization of 35 is 5 x 7

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 69 is 3 x 23

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(35, 16) = 560

GCD(35, 16) = ( 35 x 16 ) / 560

GCD(35, 16) = 560 / 560

GCD(35, 16) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

GCD of 35, 16, 38, 69 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 84, 56, 36
• GCD of 63, 61, 21, 54
• GCD of 79, 73, 55, 78
• GCD of 17, 93, 36, 90
• GCD of 28, 87, 85, 72

1. What is the GCD of 35, 16, 38, 69?

GCD of 35, 16, 38, 69 is 1

2. Where do I get the detailed procedure to find GCD of 35, 16, 38, 69?

You can find a detailed procedure to find GCD of 35, 16, 38, 69 on our page.

3. How to find GCD of 35, 16, 38, 69 on a calculator?

You can find the GCD of 35, 16, 38, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.