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GCD of 820, 565, 101, 437 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, 565, 101, 437 quickly. Get the easiest ways to solve the greatest common divisor of 820, 565, 101, 437 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 565, 101, 437 with Factoring?

Given Input numbers are 820, 565, 101, 437

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 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437


GCD of numbers is the greatest common divisor

So, the GCD (820, 565, 101, 437) = 1.

Find GCD of 820, 565, 101, 437 using Prime Factorization

Given numbers are 820, 565, 101, 437

The list of prime factors of all numbers are

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

Prime factors of 565 are 5 x 113

Prime factors of 101 are 101

Prime factors of 437 are 19 x 23

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

Steps to Calculate GCD of 820, 565, 101, 437 using LCM Formula

Given numbers are 820, 565, 101, 437

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

Apply this formula for all numbers.

Step1:

LCM(820, 565) = 92660

GCD(820, 565) = ( 820 x 565 ) / 92660

= 820 / 565

= 820


Step2:

LCM(5, 101) = 505

GCD(5, 101) = ( 5 x 101 ) / 505

= 5 / 101

= 5


Step3:

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

= 1 / 437

= 1


So, Greatest Common Divisor of 820, 565, 101, 437 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 565, 101, 437

Given numbers are 820, 565, 101, 437
The greatest common divisor of numbers 820, 565, 101, 437 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 565, 101, 437 is 1.

FAQs on GCD of 820, 565, 101, 437 Calculator

1. What is the GCD of 820, 565, 101, 437?

GCD of given numbers 820, 565, 101, 437 is 1


2. How to calculate the greatest common divisor of 820, 565, 101, 437?

We can find the highest common divisor of 820, 565, 101, 437 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, 565, 101, 437 i.e 1.


3. How can I use the GCD of 820, 565, 101, 437Calculator?

Out the numbers 820, 565, 101, 437 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.