GCD of 696, 553, 249, 761 Calculator

Given Input numbers are 696, 553, 249, 761

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 249

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

1, 3, 83, 249

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 696, 553, 249, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 553, 249, 761 is 1.

Therefore, GCD of numbers 696, 553, 249, 761 is 1

Given Input Data is 696, 553, 249, 761

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 553 is 7 x 79

Prime Factorization of 249 is 3 x 83

Prime Factorization of 761 is 761

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(696, 553) = 384888

GCD(696, 553) = ( 696 x 553 ) / 384888

GCD(696, 553) = 384888 / 384888

GCD(696, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 696, 553, 249, 761 is 1

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1. What is the GCD of 696, 553, 249, 761?

GCD of 696, 553, 249, 761 is 1

2. Where do I get the detailed procedure to find GCD of 696, 553, 249, 761?

You can find a detailed procedure to find GCD of 696, 553, 249, 761 on our page.

3. How to find GCD of 696, 553, 249, 761 on a calculator?

You can find the GCD of 696, 553, 249, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.