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GCD of 820, 753, 365, 102 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, 753, 365, 102 quickly. Get the easiest ways to solve the greatest common divisor of 820, 753, 365, 102 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 753, 365, 102 with Factoring?

Given Input numbers are 820, 753, 365, 102

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 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102


GCD of numbers is the greatest common divisor

So, the GCD (820, 753, 365, 102) = 1.

Find GCD of 820, 753, 365, 102 using Prime Factorization

Given numbers are 820, 753, 365, 102

The list of prime factors of all numbers are

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

Prime factors of 753 are 3 x 251

Prime factors of 365 are 5 x 73

Prime factors of 102 are 2 x 3 x 17

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

Steps to Calculate GCD of 820, 753, 365, 102 using LCM Formula

Given numbers are 820, 753, 365, 102

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

Apply this formula for all numbers.

Step1:

LCM(820, 753) = 617460

GCD(820, 753) = ( 820 x 753 ) / 617460

= 820 / 753

= 820


Step2:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1


Step3:

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

= 1 / 102

= 1


So, Greatest Common Divisor of 820, 753, 365, 102 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 753, 365, 102

Given numbers are 820, 753, 365, 102
The greatest common divisor of numbers 820, 753, 365, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 753, 365, 102 is 1.

FAQs on GCD of 820, 753, 365, 102 Calculator

1. What is the GCD of 820, 753, 365, 102?

GCD of given numbers 820, 753, 365, 102 is 1


2. How to calculate the greatest common divisor of 820, 753, 365, 102?

We can find the highest common divisor of 820, 753, 365, 102 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, 753, 365, 102 i.e 1.


3. How can I use the GCD of 820, 753, 365, 102Calculator?

Out the numbers 820, 753, 365, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.