GCD of 721, 378, 927, 584 Calculator

Given Input numbers are 721, 378, 927, 584

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 721, 378, 927, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 378, 927, 584 is 1.

Therefore, GCD of numbers 721, 378, 927, 584 is 1

Given Input Data is 721, 378, 927, 584

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(721, 378) = 38934

GCD(721, 378) = ( 721 x 378 ) / 38934

GCD(721, 378) = 272538 / 38934

GCD(721, 378) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 927

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

LCM(7, 927) = 6489

GCD(7, 927) = ( 7 x 927 ) / 6489

GCD(7, 927) = 6489 / 6489

GCD(7, 927) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 721, 378, 927, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 673, 271, 270
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• GCD of 137, 565, 928, 817
• GCD of 230, 953, 292, 666
• GCD of 524, 127, 145, 453

1. What is the GCD of 721, 378, 927, 584?

GCD of 721, 378, 927, 584 is 1

2. Where do I get the detailed procedure to find GCD of 721, 378, 927, 584?

You can find a detailed procedure to find GCD of 721, 378, 927, 584 on our page.

3. How to find GCD of 721, 378, 927, 584 on a calculator?

You can find the GCD of 721, 378, 927, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.