GCD of 48, 438, 656, 737 Calculator

Given Input numbers are 48, 438, 656, 737

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 48, 438, 656, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 438, 656, 737 is 1.

Therefore, GCD of numbers 48, 438, 656, 737 is 1

Given Input Data is 48, 438, 656, 737

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 737 is 11 x 67

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(48, 438) = 3504

GCD(48, 438) = ( 48 x 438 ) / 3504

GCD(48, 438) = 21024 / 3504

GCD(48, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 656

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

LCM(6, 656) = 1968

GCD(6, 656) = ( 6 x 656 ) / 1968

GCD(6, 656) = 3936 / 1968

GCD(6, 656) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1

GCD of 48, 438, 656, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 981, 318, 855
• GCD of 49, 764, 435, 367
• GCD of 16, 372, 382, 234
• GCD of 58, 709, 457, 633
• GCD of 57, 456, 679, 795

1. What is the GCD of 48, 438, 656, 737?

GCD of 48, 438, 656, 737 is 1

2. Where do I get the detailed procedure to find GCD of 48, 438, 656, 737?

You can find a detailed procedure to find GCD of 48, 438, 656, 737 on our page.

3. How to find GCD of 48, 438, 656, 737 on a calculator?

You can find the GCD of 48, 438, 656, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.