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GCD of 560, 556, 345, 572 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 560, 556, 345, 572 quickly. Get the easiest ways to solve the greatest common divisor of 560, 556, 345, 572 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 560, 556, 345, 572 with Factoring?

Given Input numbers are 560, 556, 345, 572

In the factoring method, we have to find the divisors of all numbers

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572


GCD of numbers is the greatest common divisor

So, the GCD (560, 556, 345, 572) = 1.

Find GCD of 560, 556, 345, 572 using Prime Factorization

Given numbers are 560, 556, 345, 572

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 556 are 2 x 2 x 139

Prime factors of 345 are 3 x 5 x 23

Prime factors of 572 are 2 x 2 x 11 x 13

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 560, 556, 345, 572 using LCM Formula

Given numbers are 560, 556, 345, 572

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(560, 556) = 77840

GCD(560, 556) = ( 560 x 556 ) / 77840

= 560 / 556

= 560


Step2:

LCM(4, 345) = 1380

GCD(4, 345) = ( 4 x 345 ) / 1380

= 4 / 345

= 4


Step3:

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

= 1 / 572

= 1


So, Greatest Common Divisor of 560, 556, 345, 572 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 560, 556, 345, 572

Given numbers are 560, 556, 345, 572
The greatest common divisor of numbers 560, 556, 345, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 556, 345, 572 is 1.

FAQs on GCD of 560, 556, 345, 572 Calculator

1. What is the GCD of 560, 556, 345, 572?

GCD of given numbers 560, 556, 345, 572 is 1


2. How to calculate the greatest common divisor of 560, 556, 345, 572?

We can find the highest common divisor of 560, 556, 345, 572 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 560, 556, 345, 572 i.e 1.


3. How can I use the GCD of 560, 556, 345, 572Calculator?

Out the numbers 560, 556, 345, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.