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GCD of 498, 302, 788, 561 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, 302, 788, 561 quickly. Get the easiest ways to solve the greatest common divisor of 498, 302, 788, 561 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 498, 302, 788, 561 with Factoring?

Given Input numbers are 498, 302, 788, 561

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 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561


GCD of numbers is the greatest common divisor

So, the GCD (498, 302, 788, 561) = 1.

Find GCD of 498, 302, 788, 561 using Prime Factorization

Given numbers are 498, 302, 788, 561

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 302 are 2 x 151

Prime factors of 788 are 2 x 2 x 197

Prime factors of 561 are 3 x 11 x 17

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

Steps to Calculate GCD of 498, 302, 788, 561 using LCM Formula

Given numbers are 498, 302, 788, 561

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

Apply this formula for all numbers.

Step1:

LCM(498, 302) = 75198

GCD(498, 302) = ( 498 x 302 ) / 75198

= 498 / 302

= 498


Step2:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2


Step3:

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

= 2 / 561

= 2


So, Greatest Common Divisor of 498, 302, 788, 561 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 498, 302, 788, 561

Given numbers are 498, 302, 788, 561
The greatest common divisor of numbers 498, 302, 788, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 302, 788, 561 is 1.

FAQs on GCD of 498, 302, 788, 561 Calculator

1. What is the GCD of 498, 302, 788, 561?

GCD of given numbers 498, 302, 788, 561 is 1


2. How to calculate the greatest common divisor of 498, 302, 788, 561?

We can find the highest common divisor of 498, 302, 788, 561 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, 302, 788, 561 i.e 1.


3. How can I use the GCD of 498, 302, 788, 561Calculator?

Out the numbers 498, 302, 788, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.