GCD of 656, 743, 280, 900 Calculator

Given Input numbers are 656, 743, 280, 900

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 656, 743, 280, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 743, 280, 900 is 1.

Therefore, GCD of numbers 656, 743, 280, 900 is 1

Given Input Data is 656, 743, 280, 900

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 743 is 743

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(656, 743) = 487408

GCD(656, 743) = ( 656 x 743 ) / 487408

GCD(656, 743) = 487408 / 487408

GCD(656, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 656, 743, 280, 900 is 1

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1. What is the GCD of 656, 743, 280, 900?

GCD of 656, 743, 280, 900 is 1

2. Where do I get the detailed procedure to find GCD of 656, 743, 280, 900?

You can find a detailed procedure to find GCD of 656, 743, 280, 900 on our page.

3. How to find GCD of 656, 743, 280, 900 on a calculator?

You can find the GCD of 656, 743, 280, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.