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GCD of 996, 410, 961, 691 Calculator

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


Online GCD Calculator is useful to find the GCD of 996, 410, 961, 691 quickly. Get the easiest ways to solve the greatest common divisor of 996, 410, 961, 691 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 410, 961, 691 with Factoring?

Given Input numbers are 996, 410, 961, 691

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 961 :

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

1, 31, 961

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691


GCD of numbers is the greatest common divisor

So, the GCD (996, 410, 961, 691) = 1.

Find GCD of 996, 410, 961, 691 using Prime Factorization

Given numbers are 996, 410, 961, 691

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 410 are 2 x 5 x 41

Prime factors of 961 are 31 x 31

Prime factors of 691 are 691

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

Steps to Calculate GCD of 996, 410, 961, 691 using LCM Formula

Given numbers are 996, 410, 961, 691

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

Apply this formula for all numbers.

Step1:

LCM(996, 410) = 204180

GCD(996, 410) = ( 996 x 410 ) / 204180

= 996 / 410

= 996


Step2:

LCM(2, 961) = 1922

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

= 2 / 961

= 2


Step3:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1


So, Greatest Common Divisor of 996, 410, 961, 691 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 410, 961, 691

Given numbers are 996, 410, 961, 691
The greatest common divisor of numbers 996, 410, 961, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 410, 961, 691 is 1.

FAQs on GCD of 996, 410, 961, 691 Calculator

1. What is the GCD of 996, 410, 961, 691?

GCD of given numbers 996, 410, 961, 691 is 1


2. How to calculate the greatest common divisor of 996, 410, 961, 691?

We can find the highest common divisor of 996, 410, 961, 691 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 996, 410, 961, 691 i.e 1.


3. How can I use the GCD of 996, 410, 961, 691Calculator?

Out the numbers 996, 410, 961, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.