GCD of 938, 114, 538, 657 Calculator

Given Input numbers are 938, 114, 538, 657

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 938, 114, 538, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 114, 538, 657 is 1.

Therefore, GCD of numbers 938, 114, 538, 657 is 1

Given Input Data is 938, 114, 538, 657

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 114 is 2 x 3 x 19

Prime Factorization of 538 is 2 x 269

Prime Factorization of 657 is 3 x 3 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(938, 114) = 53466

GCD(938, 114) = ( 938 x 114 ) / 53466

GCD(938, 114) = 106932 / 53466

GCD(938, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

GCD of 938, 114, 538, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 149, 132, 692
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• GCD of 702, 115, 471, 860
• GCD of 247, 912, 232, 657

1. What is the GCD of 938, 114, 538, 657?

GCD of 938, 114, 538, 657 is 1

2. Where do I get the detailed procedure to find GCD of 938, 114, 538, 657?

You can find a detailed procedure to find GCD of 938, 114, 538, 657 on our page.

3. How to find GCD of 938, 114, 538, 657 on a calculator?

You can find the GCD of 938, 114, 538, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.