GCD of 355, 376, 906, 340 Calculator

Given Input numbers are 355, 376, 906, 340

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

Divisors of 355

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

1, 5, 71, 355

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 355, 376, 906, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 376, 906, 340 is 1.

Therefore, GCD of numbers 355, 376, 906, 340 is 1

Given Input Data is 355, 376, 906, 340

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(355, 376) = 133480

GCD(355, 376) = ( 355 x 376 ) / 133480

GCD(355, 376) = 133480 / 133480

GCD(355, 376) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 355, 376, 906, 340 is 1

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1. What is the GCD of 355, 376, 906, 340?

GCD of 355, 376, 906, 340 is 1

2. Where do I get the detailed procedure to find GCD of 355, 376, 906, 340?

You can find a detailed procedure to find GCD of 355, 376, 906, 340 on our page.

3. How to find GCD of 355, 376, 906, 340 on a calculator?

You can find the GCD of 355, 376, 906, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.