GCD of 735, 656, 89, 383 Calculator

Given Input numbers are 735, 656, 89, 383

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 735, 656, 89, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 656, 89, 383 is 1.

Therefore, GCD of numbers 735, 656, 89, 383 is 1

Given Input Data is 735, 656, 89, 383

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

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

Prime Factorization of 89 is 89

Prime Factorization of 383 is 383

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(735, 656) = 482160

GCD(735, 656) = ( 735 x 656 ) / 482160

GCD(735, 656) = 482160 / 482160

GCD(735, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 735, 656, 89, 383 is 1

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• GCD of 922, 783, 80, 716
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1. What is the GCD of 735, 656, 89, 383?

GCD of 735, 656, 89, 383 is 1

2. Where do I get the detailed procedure to find GCD of 735, 656, 89, 383?

You can find a detailed procedure to find GCD of 735, 656, 89, 383 on our page.

3. How to find GCD of 735, 656, 89, 383 on a calculator?

You can find the GCD of 735, 656, 89, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.