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GCD of 498, 563, 973, 736 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, 563, 973, 736 quickly. Get the easiest ways to solve the greatest common divisor of 498, 563, 973, 736 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 498, 563, 973, 736 with Factoring?

Given Input numbers are 498, 563, 973, 736

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 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736


GCD of numbers is the greatest common divisor

So, the GCD (498, 563, 973, 736) = 1.

Find GCD of 498, 563, 973, 736 using Prime Factorization

Given numbers are 498, 563, 973, 736

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 563 are 563

Prime factors of 973 are 7 x 139

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

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

Steps to Calculate GCD of 498, 563, 973, 736 using LCM Formula

Given numbers are 498, 563, 973, 736

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

Apply this formula for all numbers.

Step1:

LCM(498, 563) = 280374

GCD(498, 563) = ( 498 x 563 ) / 280374

= 498 / 563

= 498


Step2:

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

= 1 / 973

= 1


Step3:

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

= 1 / 736

= 1


So, Greatest Common Divisor of 498, 563, 973, 736 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 498, 563, 973, 736

Given numbers are 498, 563, 973, 736
The greatest common divisor of numbers 498, 563, 973, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 563, 973, 736 is 1.

FAQs on GCD of 498, 563, 973, 736 Calculator

1. What is the GCD of 498, 563, 973, 736?

GCD of given numbers 498, 563, 973, 736 is 1


2. How to calculate the greatest common divisor of 498, 563, 973, 736?

We can find the highest common divisor of 498, 563, 973, 736 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, 563, 973, 736 i.e 1.


3. How can I use the GCD of 498, 563, 973, 736Calculator?

Out the numbers 498, 563, 973, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.