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GCD of 820, 732, 611, 577 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, 732, 611, 577 quickly. Get the easiest ways to solve the greatest common divisor of 820, 732, 611, 577 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 732, 611, 577 with Factoring?

Given Input numbers are 820, 732, 611, 577

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 611 :

The positive integer divisors of 611 that completely divides 611 are.

1, 13, 47, 611

Divisors of 577 :

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

1, 577


GCD of numbers is the greatest common divisor

So, the GCD (820, 732, 611, 577) = 1.

Find GCD of 820, 732, 611, 577 using Prime Factorization

Given numbers are 820, 732, 611, 577

The list of prime factors of all numbers are

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

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 611 are 13 x 47

Prime factors of 577 are 577

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

Steps to Calculate GCD of 820, 732, 611, 577 using LCM Formula

Given numbers are 820, 732, 611, 577

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

Apply this formula for all numbers.

Step1:

LCM(820, 732) = 150060

GCD(820, 732) = ( 820 x 732 ) / 150060

= 820 / 732

= 820


Step2:

LCM(4, 611) = 2444

GCD(4, 611) = ( 4 x 611 ) / 2444

= 4 / 611

= 4


Step3:

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

= 1 / 577

= 1


So, Greatest Common Divisor of 820, 732, 611, 577 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 732, 611, 577

Given numbers are 820, 732, 611, 577
The greatest common divisor of numbers 820, 732, 611, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 732, 611, 577 is 1.

FAQs on GCD of 820, 732, 611, 577 Calculator

1. What is the GCD of 820, 732, 611, 577?

GCD of given numbers 820, 732, 611, 577 is 1


2. How to calculate the greatest common divisor of 820, 732, 611, 577?

We can find the highest common divisor of 820, 732, 611, 577 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, 732, 611, 577 i.e 1.


3. How can I use the GCD of 820, 732, 611, 577Calculator?

Out the numbers 820, 732, 611, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.