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GCD of 820, 992, 521, 508 Calculator

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


Online GCD Calculator is useful to find the GCD of 820, 992, 521, 508 quickly. Get the easiest ways to solve the greatest common divisor of 820, 992, 521, 508 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 992, 521, 508 with Factoring?

Given Input numbers are 820, 992, 521, 508

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (820, 992, 521, 508) = 1.

Find GCD of 820, 992, 521, 508 using Prime Factorization

Given numbers are 820, 992, 521, 508

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 521 are 521

Prime factors of 508 are 2 x 2 x 127

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

Steps to Calculate GCD of 820, 992, 521, 508 using LCM Formula

Given numbers are 820, 992, 521, 508

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

Apply this formula for all numbers.

Step1:

LCM(820, 992) = 203360

GCD(820, 992) = ( 820 x 992 ) / 203360

= 820 / 992

= 820


Step2:

LCM(4, 521) = 2084

GCD(4, 521) = ( 4 x 521 ) / 2084

= 4 / 521

= 4


Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1


So, Greatest Common Divisor of 820, 992, 521, 508 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 992, 521, 508

Given numbers are 820, 992, 521, 508
The greatest common divisor of numbers 820, 992, 521, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 992, 521, 508 is 1.

FAQs on GCD of 820, 992, 521, 508 Calculator

1. What is the GCD of 820, 992, 521, 508?

GCD of given numbers 820, 992, 521, 508 is 1


2. How to calculate the greatest common divisor of 820, 992, 521, 508?

We can find the highest common divisor of 820, 992, 521, 508 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 820, 992, 521, 508 i.e 1.


3. How can I use the GCD of 820, 992, 521, 508Calculator?

Out the numbers 820, 992, 521, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.