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GCD of 820, 152, 307, 821 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, 152, 307, 821 quickly. Get the easiest ways to solve the greatest common divisor of 820, 152, 307, 821 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 152, 307, 821 with Factoring?

Given Input numbers are 820, 152, 307, 821

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821


GCD of numbers is the greatest common divisor

So, the GCD (820, 152, 307, 821) = 1.

Find GCD of 820, 152, 307, 821 using Prime Factorization

Given numbers are 820, 152, 307, 821

The list of prime factors of all numbers are

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

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 307 are 307

Prime factors of 821 are 821

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

Steps to Calculate GCD of 820, 152, 307, 821 using LCM Formula

Given numbers are 820, 152, 307, 821

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

Apply this formula for all numbers.

Step1:

LCM(820, 152) = 31160

GCD(820, 152) = ( 820 x 152 ) / 31160

= 820 / 152

= 820


Step2:

LCM(4, 307) = 1228

GCD(4, 307) = ( 4 x 307 ) / 1228

= 4 / 307

= 4


Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1


So, Greatest Common Divisor of 820, 152, 307, 821 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 152, 307, 821

Given numbers are 820, 152, 307, 821
The greatest common divisor of numbers 820, 152, 307, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 152, 307, 821 is 1.

FAQs on GCD of 820, 152, 307, 821 Calculator

1. What is the GCD of 820, 152, 307, 821?

GCD of given numbers 820, 152, 307, 821 is 1


2. How to calculate the greatest common divisor of 820, 152, 307, 821?

We can find the highest common divisor of 820, 152, 307, 821 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, 152, 307, 821 i.e 1.


3. How can I use the GCD of 820, 152, 307, 821Calculator?

Out the numbers 820, 152, 307, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.