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GCD of 470, 498, 369, 804 Calculator

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


Online GCD Calculator is useful to find the GCD of 470, 498, 369, 804 quickly. Get the easiest ways to solve the greatest common divisor of 470, 498, 369, 804 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 470, 498, 369, 804 with Factoring?

Given Input numbers are 470, 498, 369, 804

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804


GCD of numbers is the greatest common divisor

So, the GCD (470, 498, 369, 804) = 1.

Find GCD of 470, 498, 369, 804 using Prime Factorization

Given numbers are 470, 498, 369, 804

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 498 are 2 x 3 x 83

Prime factors of 369 are 3 x 3 x 41

Prime factors of 804 are 2 x 2 x 3 x 67

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

Steps to Calculate GCD of 470, 498, 369, 804 using LCM Formula

Given numbers are 470, 498, 369, 804

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

Apply this formula for all numbers.

Step1:

LCM(470, 498) = 117030

GCD(470, 498) = ( 470 x 498 ) / 117030

= 470 / 498

= 470


Step2:

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

= 2 / 369

= 2


Step3:

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

= 1 / 804

= 1


So, Greatest Common Divisor of 470, 498, 369, 804 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 470, 498, 369, 804

Given numbers are 470, 498, 369, 804
The greatest common divisor of numbers 470, 498, 369, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 498, 369, 804 is 1.

FAQs on GCD of 470, 498, 369, 804 Calculator

1. What is the GCD of 470, 498, 369, 804?

GCD of given numbers 470, 498, 369, 804 is 1


2. How to calculate the greatest common divisor of 470, 498, 369, 804?

We can find the highest common divisor of 470, 498, 369, 804 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 470, 498, 369, 804 i.e 1.


3. How can I use the GCD of 470, 498, 369, 804Calculator?

Out the numbers 470, 498, 369, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.