GCD of 48, 438, 707, 611 Calculator

Given Input numbers are 48, 438, 707, 611

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Greatest Common Divisior

We found the divisors of 48, 438, 707, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 438, 707, 611 is 1.

Therefore, GCD of numbers 48, 438, 707, 611 is 1

Given Input Data is 48, 438, 707, 611

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 707 is 7 x 101

Prime Factorization of 611 is 13 x 47

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 707

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

LCM(6, 707) = 4242

GCD(6, 707) = ( 6 x 707 ) / 4242

GCD(6, 707) = 4242 / 4242

GCD(6, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 611

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

LCM(1, 611) = 611

GCD(1, 611) = ( 1 x 611 ) / 611

GCD(1, 611) = 611 / 611

GCD(1, 611) = 1

GCD of 48, 438, 707, 611 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 983, 202, 191
• GCD of 12, 702, 164, 912
• GCD of 22, 827, 986, 954
• GCD of 49, 931, 767, 802
• GCD of 17, 447, 144, 487

1. What is the GCD of 48, 438, 707, 611?

GCD of 48, 438, 707, 611 is 1

2. Where do I get the detailed procedure to find GCD of 48, 438, 707, 611?

You can find a detailed procedure to find GCD of 48, 438, 707, 611 on our page.

3. How to find GCD of 48, 438, 707, 611 on a calculator?

You can find the GCD of 48, 438, 707, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.