GCD of 48, 644, 715, 735 Calculator

Given Input numbers are 48, 644, 715, 735

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 48, 644, 715, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 644, 715, 735 is 1.

Therefore, GCD of numbers 48, 644, 715, 735 is 1

Given Input Data is 48, 644, 715, 735

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 644 is 2 x 2 x 7 x 23

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 735 is 3 x 5 x 7 x 7

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, 644) = 7728

GCD(48, 644) = ( 48 x 644 ) / 7728

GCD(48, 644) = 30912 / 7728

GCD(48, 644) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 715

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

LCM(4, 715) = 2860

GCD(4, 715) = ( 4 x 715 ) / 2860

GCD(4, 715) = 2860 / 2860

GCD(4, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 48, 644, 715, 735 is 1

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1. What is the GCD of 48, 644, 715, 735?

GCD of 48, 644, 715, 735 is 1

2. Where do I get the detailed procedure to find GCD of 48, 644, 715, 735?

You can find a detailed procedure to find GCD of 48, 644, 715, 735 on our page.

3. How to find GCD of 48, 644, 715, 735 on a calculator?

You can find the GCD of 48, 644, 715, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.