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GCD of 492, 829, 537, 966 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 829, 537, 966 quickly. Get the easiest ways to solve the greatest common divisor of 492, 829, 537, 966 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 829, 537, 966 with Factoring?

Given Input numbers are 492, 829, 537, 966

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 829 :

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

1, 829

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966


GCD of numbers is the greatest common divisor

So, the GCD (492, 829, 537, 966) = 1.

Find GCD of 492, 829, 537, 966 using Prime Factorization

Given numbers are 492, 829, 537, 966

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 829 are 829

Prime factors of 537 are 3 x 179

Prime factors of 966 are 2 x 3 x 7 x 23

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

Steps to Calculate GCD of 492, 829, 537, 966 using LCM Formula

Given numbers are 492, 829, 537, 966

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

Apply this formula for all numbers.

Step1:

LCM(492, 829) = 407868

GCD(492, 829) = ( 492 x 829 ) / 407868

= 492 / 829

= 492


Step2:

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

= 1 / 537

= 1


Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1


So, Greatest Common Divisor of 492, 829, 537, 966 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 829, 537, 966

Given numbers are 492, 829, 537, 966
The greatest common divisor of numbers 492, 829, 537, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 829, 537, 966 is 1.

FAQs on GCD of 492, 829, 537, 966 Calculator

1. What is the GCD of 492, 829, 537, 966?

GCD of given numbers 492, 829, 537, 966 is 1


2. How to calculate the greatest common divisor of 492, 829, 537, 966?

We can find the highest common divisor of 492, 829, 537, 966 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 492, 829, 537, 966 i.e 1.


3. How can I use the GCD of 492, 829, 537, 966Calculator?

Out the numbers 492, 829, 537, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.