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GCD of 520, 610, 21, 993 Calculator

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


Online GCD Calculator is useful to find the GCD of 520, 610, 21, 993 quickly. Get the easiest ways to solve the greatest common divisor of 520, 610, 21, 993 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 520, 610, 21, 993 with Factoring?

Given Input numbers are 520, 610, 21, 993

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993


GCD of numbers is the greatest common divisor

So, the GCD (520, 610, 21, 993) = 1.

Find GCD of 520, 610, 21, 993 using Prime Factorization

Given numbers are 520, 610, 21, 993

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 610 are 2 x 5 x 61

Prime factors of 21 are 3 x 7

Prime factors of 993 are 3 x 331

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

Steps to Calculate GCD of 520, 610, 21, 993 using LCM Formula

Given numbers are 520, 610, 21, 993

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

Apply this formula for all numbers.

Step1:

LCM(520, 610) = 31720

GCD(520, 610) = ( 520 x 610 ) / 31720

= 520 / 610

= 520


Step2:

LCM(10, 21) = 210

GCD(10, 21) = ( 10 x 21 ) / 210

= 10 / 21

= 10


Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1


So, Greatest Common Divisor of 520, 610, 21, 993 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 520, 610, 21, 993

Given numbers are 520, 610, 21, 993
The greatest common divisor of numbers 520, 610, 21, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 610, 21, 993 is 1.

FAQs on GCD of 520, 610, 21, 993 Calculator

1. What is the GCD of 520, 610, 21, 993?

GCD of given numbers 520, 610, 21, 993 is 1


2. How to calculate the greatest common divisor of 520, 610, 21, 993?

We can find the highest common divisor of 520, 610, 21, 993 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 520, 610, 21, 993 i.e 1.


3. How can I use the GCD of 520, 610, 21, 993Calculator?

Out the numbers 520, 610, 21, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.