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GCD of 563, 998, 575, 135 Calculator

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


Online GCD Calculator is useful to find the GCD of 563, 998, 575, 135 quickly. Get the easiest ways to solve the greatest common divisor of 563, 998, 575, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 563, 998, 575, 135 with Factoring?

Given Input numbers are 563, 998, 575, 135

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

Divisors of 563 :

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

1, 563

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135


GCD of numbers is the greatest common divisor

So, the GCD (563, 998, 575, 135) = 1.

Find GCD of 563, 998, 575, 135 using Prime Factorization

Given numbers are 563, 998, 575, 135

The list of prime factors of all numbers are

Prime factors of 563 are 563

Prime factors of 998 are 2 x 499

Prime factors of 575 are 5 x 5 x 23

Prime factors of 135 are 3 x 3 x 3 x 5

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

Steps to Calculate GCD of 563, 998, 575, 135 using LCM Formula

Given numbers are 563, 998, 575, 135

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

Apply this formula for all numbers.

Step1:

LCM(563, 998) = 561874

GCD(563, 998) = ( 563 x 998 ) / 561874

= 563 / 998

= 563


Step2:

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

= 1 / 575

= 1


Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


So, Greatest Common Divisor of 563, 998, 575, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 563, 998, 575, 135

Given numbers are 563, 998, 575, 135
The greatest common divisor of numbers 563, 998, 575, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 563, 998, 575, 135 is 1.

FAQs on GCD of 563, 998, 575, 135 Calculator

1. What is the GCD of 563, 998, 575, 135?

GCD of given numbers 563, 998, 575, 135 is 1


2. How to calculate the greatest common divisor of 563, 998, 575, 135?

We can find the highest common divisor of 563, 998, 575, 135 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 563, 998, 575, 135 i.e 1.


3. How can I use the GCD of 563, 998, 575, 135Calculator?

Out the numbers 563, 998, 575, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.