GCD of 561, 718, 48, 722 Calculator

Given Input numbers are 561, 718, 48, 722

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 561, 718, 48, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 718, 48, 722 is 1.

Therefore, GCD of numbers 561, 718, 48, 722 is 1

Given Input Data is 561, 718, 48, 722

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 718 is 2 x 359

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

Prime Factorization of 722 is 2 x 19 x 19

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(561, 718) = 402798

GCD(561, 718) = ( 561 x 718 ) / 402798

GCD(561, 718) = 402798 / 402798

GCD(561, 718) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 561, 718, 48, 722 is 1

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• GCD of 900, 148, 60, 707
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1. What is the GCD of 561, 718, 48, 722?

GCD of 561, 718, 48, 722 is 1

2. Where do I get the detailed procedure to find GCD of 561, 718, 48, 722?

You can find a detailed procedure to find GCD of 561, 718, 48, 722 on our page.

3. How to find GCD of 561, 718, 48, 722 on a calculator?

You can find the GCD of 561, 718, 48, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.