GCD of 738, 632, 964, 557 Calculator

Given Input numbers are 738, 632, 964, 557

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 738, 632, 964, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 632, 964, 557 is 1.

Therefore, GCD of numbers 738, 632, 964, 557 is 1

Given Input Data is 738, 632, 964, 557

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 557 is 557

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(738, 632) = 233208

GCD(738, 632) = ( 738 x 632 ) / 233208

GCD(738, 632) = 466416 / 233208

GCD(738, 632) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 557

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

LCM(2, 557) = 1114

GCD(2, 557) = ( 2 x 557 ) / 1114

GCD(2, 557) = 1114 / 1114

GCD(2, 557) = 1

GCD of 738, 632, 964, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 277, 306, 736
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• GCD of 474, 912, 779, 200

1. What is the GCD of 738, 632, 964, 557?

GCD of 738, 632, 964, 557 is 1

2. Where do I get the detailed procedure to find GCD of 738, 632, 964, 557?

You can find a detailed procedure to find GCD of 738, 632, 964, 557 on our page.

3. How to find GCD of 738, 632, 964, 557 on a calculator?

You can find the GCD of 738, 632, 964, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.