GCD of 905, 689, 951, 356 Calculator

Given Input numbers are 905, 689, 951, 356

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 356

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

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 905, 689, 951, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 689, 951, 356 is 1.

Therefore, GCD of numbers 905, 689, 951, 356 is 1

Given Input Data is 905, 689, 951, 356

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 689 is 13 x 53

Prime Factorization of 951 is 3 x 317

Prime Factorization of 356 is 2 x 2 x 89

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(905, 689) = 623545

GCD(905, 689) = ( 905 x 689 ) / 623545

GCD(905, 689) = 623545 / 623545

GCD(905, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 951

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

LCM(1, 951) = 951

GCD(1, 951) = ( 1 x 951 ) / 951

GCD(1, 951) = 951 / 951

GCD(1, 951) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 905, 689, 951, 356 is 1

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1. What is the GCD of 905, 689, 951, 356?

GCD of 905, 689, 951, 356 is 1

2. Where do I get the detailed procedure to find GCD of 905, 689, 951, 356?

You can find a detailed procedure to find GCD of 905, 689, 951, 356 on our page.

3. How to find GCD of 905, 689, 951, 356 on a calculator?

You can find the GCD of 905, 689, 951, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.