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GCD of 361, 169, 813, 450 Calculator

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


Online GCD Calculator is useful to find the GCD of 361, 169, 813, 450 quickly. Get the easiest ways to solve the greatest common divisor of 361, 169, 813, 450 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 361, 169, 813, 450 with Factoring?

Given Input numbers are 361, 169, 813, 450

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

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


GCD of numbers is the greatest common divisor

So, the GCD (361, 169, 813, 450) = 1.

Find GCD of 361, 169, 813, 450 using Prime Factorization

Given numbers are 361, 169, 813, 450

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 169 are 13 x 13

Prime factors of 813 are 3 x 271

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

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

Steps to Calculate GCD of 361, 169, 813, 450 using LCM Formula

Given numbers are 361, 169, 813, 450

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

Apply this formula for all numbers.

Step1:

LCM(361, 169) = 61009

GCD(361, 169) = ( 361 x 169 ) / 61009

= 361 / 169

= 361


Step2:

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

= 1 / 813

= 1


Step3:

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

= 1 / 450

= 1


So, Greatest Common Divisor of 361, 169, 813, 450 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 361, 169, 813, 450

Given numbers are 361, 169, 813, 450
The greatest common divisor of numbers 361, 169, 813, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 169, 813, 450 is 1.

FAQs on GCD of 361, 169, 813, 450 Calculator

1. What is the GCD of 361, 169, 813, 450?

GCD of given numbers 361, 169, 813, 450 is 1


2. How to calculate the greatest common divisor of 361, 169, 813, 450?

We can find the highest common divisor of 361, 169, 813, 450 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 361, 169, 813, 450 i.e 1.


3. How can I use the GCD of 361, 169, 813, 450Calculator?

Out the numbers 361, 169, 813, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.