GCD of 20, 935, 356, 949 Calculator

Given Input numbers are 20, 935, 356, 949

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 20, 935, 356, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 935, 356, 949 is 1.

Therefore, GCD of numbers 20, 935, 356, 949 is 1

Given Input Data is 20, 935, 356, 949

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 949 is 13 x 73

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(20, 935) = 3740

GCD(20, 935) = ( 20 x 935 ) / 3740

GCD(20, 935) = 18700 / 3740

GCD(20, 935) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 356

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

LCM(5, 356) = 1780

GCD(5, 356) = ( 5 x 356 ) / 1780

GCD(5, 356) = 1780 / 1780

GCD(5, 356) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 20, 935, 356, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 507, 295, 222
• GCD of 84, 533, 672, 764
• GCD of 49, 224, 511, 851
• GCD of 89, 762, 699, 966
• GCD of 92, 508, 416, 119

1. What is the GCD of 20, 935, 356, 949?

GCD of 20, 935, 356, 949 is 1

2. Where do I get the detailed procedure to find GCD of 20, 935, 356, 949?

You can find a detailed procedure to find GCD of 20, 935, 356, 949 on our page.

3. How to find GCD of 20, 935, 356, 949 on a calculator?

You can find the GCD of 20, 935, 356, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.