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GCD of 564, 829, 731, 146 Calculator

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


Online GCD Calculator is useful to find the GCD of 564, 829, 731, 146 quickly. Get the easiest ways to solve the greatest common divisor of 564, 829, 731, 146 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 564, 829, 731, 146 with Factoring?

Given Input numbers are 564, 829, 731, 146

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146


GCD of numbers is the greatest common divisor

So, the GCD (564, 829, 731, 146) = 1.

Find GCD of 564, 829, 731, 146 using Prime Factorization

Given numbers are 564, 829, 731, 146

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 829 are 829

Prime factors of 731 are 17 x 43

Prime factors of 146 are 2 x 73

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

Steps to Calculate GCD of 564, 829, 731, 146 using LCM Formula

Given numbers are 564, 829, 731, 146

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

Apply this formula for all numbers.

Step1:

LCM(564, 829) = 467556

GCD(564, 829) = ( 564 x 829 ) / 467556

= 564 / 829

= 564


Step2:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1


Step3:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1


So, Greatest Common Divisor of 564, 829, 731, 146 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 564, 829, 731, 146

Given numbers are 564, 829, 731, 146
The greatest common divisor of numbers 564, 829, 731, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 829, 731, 146 is 1.

FAQs on GCD of 564, 829, 731, 146 Calculator

1. What is the GCD of 564, 829, 731, 146?

GCD of given numbers 564, 829, 731, 146 is 1


2. How to calculate the greatest common divisor of 564, 829, 731, 146?

We can find the highest common divisor of 564, 829, 731, 146 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 564, 829, 731, 146 i.e 1.


3. How can I use the GCD of 564, 829, 731, 146Calculator?

Out the numbers 564, 829, 731, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.