GCD of 20, 376, 726, 355 Calculator

Given Input numbers are 20, 376, 726, 355

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 20, 376, 726, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 376, 726, 355 is 1.

Therefore, GCD of numbers 20, 376, 726, 355 is 1

Given Input Data is 20, 376, 726, 355

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 376 is 2 x 2 x 2 x 47

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 355 is 5 x 71

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, 376) = 1880

GCD(20, 376) = ( 20 x 376 ) / 1880

GCD(20, 376) = 7520 / 1880

GCD(20, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 726

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

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

GCD(4, 726) = 2904 / 1452

GCD(4, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

GCD of 20, 376, 726, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 416, 966, 841
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• GCD of 60, 270, 231, 649
• GCD of 26, 396, 307, 991
• GCD of 38, 836, 702, 773

1. What is the GCD of 20, 376, 726, 355?

GCD of 20, 376, 726, 355 is 1

2. Where do I get the detailed procedure to find GCD of 20, 376, 726, 355?

You can find a detailed procedure to find GCD of 20, 376, 726, 355 on our page.

3. How to find GCD of 20, 376, 726, 355 on a calculator?

You can find the GCD of 20, 376, 726, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.