GCD of 754, 981, 553, 585 Calculator

Given Input numbers are 754, 981, 553, 585

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 553

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

1, 7, 79, 553

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 754, 981, 553, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 981, 553, 585 is 1.

Therefore, GCD of numbers 754, 981, 553, 585 is 1

Given Input Data is 754, 981, 553, 585

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 553 is 7 x 79

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(754, 981) = 739674

GCD(754, 981) = ( 754 x 981 ) / 739674

GCD(754, 981) = 739674 / 739674

GCD(754, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 754, 981, 553, 585 is 1

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• GCD of 388, 353, 701, 689
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1. What is the GCD of 754, 981, 553, 585?

GCD of 754, 981, 553, 585 is 1

2. Where do I get the detailed procedure to find GCD of 754, 981, 553, 585?

You can find a detailed procedure to find GCD of 754, 981, 553, 585 on our page.

3. How to find GCD of 754, 981, 553, 585 on a calculator?

You can find the GCD of 754, 981, 553, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.