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GCD of 800, 642, 450, 181 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, 642, 450, 181 quickly. Get the easiest ways to solve the greatest common divisor of 800, 642, 450, 181 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 642, 450, 181 with Factoring?

Given Input numbers are 800, 642, 450, 181

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 181 :

The positive integer divisors of 181 that completely divides 181 are.

1, 181


GCD of numbers is the greatest common divisor

So, the GCD (800, 642, 450, 181) = 1.

Find GCD of 800, 642, 450, 181 using Prime Factorization

Given numbers are 800, 642, 450, 181

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 642 are 2 x 3 x 107

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 181 are 181

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

Steps to Calculate GCD of 800, 642, 450, 181 using LCM Formula

Given numbers are 800, 642, 450, 181

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

Apply this formula for all numbers.

Step1:

LCM(800, 642) = 256800

GCD(800, 642) = ( 800 x 642 ) / 256800

= 800 / 642

= 800


Step2:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2


Step3:

LCM(2, 181) = 362

GCD(2, 181) = ( 2 x 181 ) / 362

= 2 / 181

= 2


So, Greatest Common Divisor of 800, 642, 450, 181 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 642, 450, 181

Given numbers are 800, 642, 450, 181
The greatest common divisor of numbers 800, 642, 450, 181 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 642, 450, 181 is 1.

FAQs on GCD of 800, 642, 450, 181 Calculator

1. What is the GCD of 800, 642, 450, 181?

GCD of given numbers 800, 642, 450, 181 is 1


2. How to calculate the greatest common divisor of 800, 642, 450, 181?

We can find the highest common divisor of 800, 642, 450, 181 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, 642, 450, 181 i.e 1.


3. How can I use the GCD of 800, 642, 450, 181Calculator?

Out the numbers 800, 642, 450, 181 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.