GCD of 731, 249, 653, 965 Calculator

Given Input numbers are 731, 249, 653, 965

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 731, 249, 653, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 249, 653, 965 is 1.

Therefore, GCD of numbers 731, 249, 653, 965 is 1

Given Input Data is 731, 249, 653, 965

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 249 is 3 x 83

Prime Factorization of 653 is 653

Prime Factorization of 965 is 5 x 193

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(731, 249) = 182019

GCD(731, 249) = ( 731 x 249 ) / 182019

GCD(731, 249) = 182019 / 182019

GCD(731, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 731, 249, 653, 965 is 1

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1. What is the GCD of 731, 249, 653, 965?

GCD of 731, 249, 653, 965 is 1

2. Where do I get the detailed procedure to find GCD of 731, 249, 653, 965?

You can find a detailed procedure to find GCD of 731, 249, 653, 965 on our page.

3. How to find GCD of 731, 249, 653, 965 on a calculator?

You can find the GCD of 731, 249, 653, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.