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GCD of 800, 369, 146, 853 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 369, 146, 853 quickly. Get the easiest ways to solve the greatest common divisor of 800, 369, 146, 853 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 369, 146, 853 with Factoring?

Given Input numbers are 800, 369, 146, 853

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853


GCD of numbers is the greatest common divisor

So, the GCD (800, 369, 146, 853) = 1.

Find GCD of 800, 369, 146, 853 using Prime Factorization

Given numbers are 800, 369, 146, 853

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 369 are 3 x 3 x 41

Prime factors of 146 are 2 x 73

Prime factors of 853 are 853

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

Steps to Calculate GCD of 800, 369, 146, 853 using LCM Formula

Given numbers are 800, 369, 146, 853

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

Apply this formula for all numbers.

Step1:

LCM(800, 369) = 295200

GCD(800, 369) = ( 800 x 369 ) / 295200

= 800 / 369

= 800


Step2:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1


Step3:

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

= 1 / 853

= 1


So, Greatest Common Divisor of 800, 369, 146, 853 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 369, 146, 853

Given numbers are 800, 369, 146, 853
The greatest common divisor of numbers 800, 369, 146, 853 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 369, 146, 853 is 1.

FAQs on GCD of 800, 369, 146, 853 Calculator

1. What is the GCD of 800, 369, 146, 853?

GCD of given numbers 800, 369, 146, 853 is 1


2. How to calculate the greatest common divisor of 800, 369, 146, 853?

We can find the highest common divisor of 800, 369, 146, 853 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 800, 369, 146, 853 i.e 1.


3. How can I use the GCD of 800, 369, 146, 853Calculator?

Out the numbers 800, 369, 146, 853 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.