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GCD of 561, 142, 739, 438 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, 142, 739, 438 quickly. Get the easiest ways to solve the greatest common divisor of 561, 142, 739, 438 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 561, 142, 739, 438 with Factoring?

Given Input numbers are 561, 142, 739, 438

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438


GCD of numbers is the greatest common divisor

So, the GCD (561, 142, 739, 438) = 1.

Find GCD of 561, 142, 739, 438 using Prime Factorization

Given numbers are 561, 142, 739, 438

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 142 are 2 x 71

Prime factors of 739 are 739

Prime factors of 438 are 2 x 3 x 73

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

Steps to Calculate GCD of 561, 142, 739, 438 using LCM Formula

Given numbers are 561, 142, 739, 438

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

Apply this formula for all numbers.

Step1:

LCM(561, 142) = 79662

GCD(561, 142) = ( 561 x 142 ) / 79662

= 561 / 142

= 561


Step2:

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

= 1 / 739

= 1


Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1


So, Greatest Common Divisor of 561, 142, 739, 438 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 561, 142, 739, 438

Given numbers are 561, 142, 739, 438
The greatest common divisor of numbers 561, 142, 739, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 142, 739, 438 is 1.

FAQs on GCD of 561, 142, 739, 438 Calculator

1. What is the GCD of 561, 142, 739, 438?

GCD of given numbers 561, 142, 739, 438 is 1


2. How to calculate the greatest common divisor of 561, 142, 739, 438?

We can find the highest common divisor of 561, 142, 739, 438 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, 142, 739, 438 i.e 1.


3. How can I use the GCD of 561, 142, 739, 438Calculator?

Out the numbers 561, 142, 739, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.