GCD of 38, 279, 969, 616 Calculator

Given Input numbers are 38, 279, 969, 616

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 38, 279, 969, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 279, 969, 616 is 1.

Therefore, GCD of numbers 38, 279, 969, 616 is 1

Given Input Data is 38, 279, 969, 616

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(38, 279) = 10602

GCD(38, 279) = ( 38 x 279 ) / 10602

GCD(38, 279) = 10602 / 10602

GCD(38, 279) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 38, 279, 969, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 427, 166, 258
• GCD of 14, 801, 854, 740
• GCD of 46, 778, 977, 278
• GCD of 35, 343, 952, 534
• GCD of 72, 325, 359, 878

1. What is the GCD of 38, 279, 969, 616?

GCD of 38, 279, 969, 616 is 1

2. Where do I get the detailed procedure to find GCD of 38, 279, 969, 616?

You can find a detailed procedure to find GCD of 38, 279, 969, 616 on our page.

3. How to find GCD of 38, 279, 969, 616 on a calculator?

You can find the GCD of 38, 279, 969, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.