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GCD of 561, 236, 101, 506 Calculator

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


Online GCD Calculator is useful to find the GCD of 561, 236, 101, 506 quickly. Get the easiest ways to solve the greatest common divisor of 561, 236, 101, 506 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 561, 236, 101, 506 with Factoring?

Given Input numbers are 561, 236, 101, 506

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

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

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506


GCD of numbers is the greatest common divisor

So, the GCD (561, 236, 101, 506) = 1.

Find GCD of 561, 236, 101, 506 using Prime Factorization

Given numbers are 561, 236, 101, 506

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 236 are 2 x 2 x 59

Prime factors of 101 are 101

Prime factors of 506 are 2 x 11 x 23

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

Steps to Calculate GCD of 561, 236, 101, 506 using LCM Formula

Given numbers are 561, 236, 101, 506

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

Apply this formula for all numbers.

Step1:

LCM(561, 236) = 132396

GCD(561, 236) = ( 561 x 236 ) / 132396

= 561 / 236

= 561


Step2:

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

= 1 / 101

= 1


Step3:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1


So, Greatest Common Divisor of 561, 236, 101, 506 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 561, 236, 101, 506

Given numbers are 561, 236, 101, 506
The greatest common divisor of numbers 561, 236, 101, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 236, 101, 506 is 1.

FAQs on GCD of 561, 236, 101, 506 Calculator

1. What is the GCD of 561, 236, 101, 506?

GCD of given numbers 561, 236, 101, 506 is 1


2. How to calculate the greatest common divisor of 561, 236, 101, 506?

We can find the highest common divisor of 561, 236, 101, 506 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 561, 236, 101, 506 i.e 1.


3. How can I use the GCD of 561, 236, 101, 506Calculator?

Out the numbers 561, 236, 101, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.