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GCD of 996, 696, 577, 487 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, 696, 577, 487 quickly. Get the easiest ways to solve the greatest common divisor of 996, 696, 577, 487 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 696, 577, 487 with Factoring?

Given Input numbers are 996, 696, 577, 487

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487


GCD of numbers is the greatest common divisor

So, the GCD (996, 696, 577, 487) = 1.

Find GCD of 996, 696, 577, 487 using Prime Factorization

Given numbers are 996, 696, 577, 487

The list of prime factors of all numbers are

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 577 are 577

Prime factors of 487 are 487

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

Steps to Calculate GCD of 996, 696, 577, 487 using LCM Formula

Given numbers are 996, 696, 577, 487

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

Apply this formula for all numbers.

Step1:

LCM(996, 696) = 57768

GCD(996, 696) = ( 996 x 696 ) / 57768

= 996 / 696

= 996


Step2:

LCM(12, 577) = 6924

GCD(12, 577) = ( 12 x 577 ) / 6924

= 12 / 577

= 12


Step3:

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

= 1 / 487

= 1


So, Greatest Common Divisor of 996, 696, 577, 487 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 696, 577, 487

Given numbers are 996, 696, 577, 487
The greatest common divisor of numbers 996, 696, 577, 487 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 696, 577, 487 is 1.

FAQs on GCD of 996, 696, 577, 487 Calculator

1. What is the GCD of 996, 696, 577, 487?

GCD of given numbers 996, 696, 577, 487 is 1


2. How to calculate the greatest common divisor of 996, 696, 577, 487?

We can find the highest common divisor of 996, 696, 577, 487 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, 696, 577, 487 i.e 1.


3. How can I use the GCD of 996, 696, 577, 487Calculator?

Out the numbers 996, 696, 577, 487 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.