GCD of 938, 544, 553, 626 Calculator

Given Input numbers are 938, 544, 553, 626

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 553

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

1, 7, 79, 553

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 938, 544, 553, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 544, 553, 626 is 1.

Therefore, GCD of numbers 938, 544, 553, 626 is 1

Given Input Data is 938, 544, 553, 626

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 553 is 7 x 79

Prime Factorization of 626 is 2 x 313

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(938, 544) = 255136

GCD(938, 544) = ( 938 x 544 ) / 255136

GCD(938, 544) = 510272 / 255136

GCD(938, 544) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 938, 544, 553, 626 is 1

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1. What is the GCD of 938, 544, 553, 626?

GCD of 938, 544, 553, 626 is 1

2. Where do I get the detailed procedure to find GCD of 938, 544, 553, 626?

You can find a detailed procedure to find GCD of 938, 544, 553, 626 on our page.

3. How to find GCD of 938, 544, 553, 626 on a calculator?

You can find the GCD of 938, 544, 553, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.