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GCD of 492, 962, 961, 441 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, 962, 961, 441 quickly. Get the easiest ways to solve the greatest common divisor of 492, 962, 961, 441 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 962, 961, 441 with Factoring?

Given Input numbers are 492, 962, 961, 441

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 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441


GCD of numbers is the greatest common divisor

So, the GCD (492, 962, 961, 441) = 1.

Find GCD of 492, 962, 961, 441 using Prime Factorization

Given numbers are 492, 962, 961, 441

The list of prime factors of all numbers are

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

Prime factors of 962 are 2 x 13 x 37

Prime factors of 961 are 31 x 31

Prime factors of 441 are 3 x 3 x 7 x 7

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

Steps to Calculate GCD of 492, 962, 961, 441 using LCM Formula

Given numbers are 492, 962, 961, 441

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

Apply this formula for all numbers.

Step1:

LCM(492, 962) = 236652

GCD(492, 962) = ( 492 x 962 ) / 236652

= 492 / 962

= 492


Step2:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2


Step3:

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

= 1 / 441

= 1


So, Greatest Common Divisor of 492, 962, 961, 441 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 962, 961, 441

Given numbers are 492, 962, 961, 441
The greatest common divisor of numbers 492, 962, 961, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 962, 961, 441 is 1.

FAQs on GCD of 492, 962, 961, 441 Calculator

1. What is the GCD of 492, 962, 961, 441?

GCD of given numbers 492, 962, 961, 441 is 1


2. How to calculate the greatest common divisor of 492, 962, 961, 441?

We can find the highest common divisor of 492, 962, 961, 441 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, 962, 961, 441 i.e 1.


3. How can I use the GCD of 492, 962, 961, 441Calculator?

Out the numbers 492, 962, 961, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.