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GCD of 498, 393, 180, 670 Calculator

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


Online GCD Calculator is useful to find the GCD of 498, 393, 180, 670 quickly. Get the easiest ways to solve the greatest common divisor of 498, 393, 180, 670 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 498, 393, 180, 670 with Factoring?

Given Input numbers are 498, 393, 180, 670

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

Divisors of 498 :

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

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

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670


GCD of numbers is the greatest common divisor

So, the GCD (498, 393, 180, 670) = 1.

Find GCD of 498, 393, 180, 670 using Prime Factorization

Given numbers are 498, 393, 180, 670

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 393 are 3 x 131

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 670 are 2 x 5 x 67

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

Steps to Calculate GCD of 498, 393, 180, 670 using LCM Formula

Given numbers are 498, 393, 180, 670

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

Apply this formula for all numbers.

Step1:

LCM(498, 393) = 65238

GCD(498, 393) = ( 498 x 393 ) / 65238

= 498 / 393

= 498


Step2:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3


Step3:

LCM(3, 670) = 2010

GCD(3, 670) = ( 3 x 670 ) / 2010

= 3 / 670

= 3


So, Greatest Common Divisor of 498, 393, 180, 670 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 498, 393, 180, 670

Given numbers are 498, 393, 180, 670
The greatest common divisor of numbers 498, 393, 180, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 393, 180, 670 is 1.

FAQs on GCD of 498, 393, 180, 670 Calculator

1. What is the GCD of 498, 393, 180, 670?

GCD of given numbers 498, 393, 180, 670 is 1


2. How to calculate the greatest common divisor of 498, 393, 180, 670?

We can find the highest common divisor of 498, 393, 180, 670 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 498, 393, 180, 670 i.e 1.


3. How can I use the GCD of 498, 393, 180, 670Calculator?

Out the numbers 498, 393, 180, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.