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GCD of 563, 677, 505, 270 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, 677, 505, 270 quickly. Get the easiest ways to solve the greatest common divisor of 563, 677, 505, 270 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 563, 677, 505, 270 with Factoring?

Given Input numbers are 563, 677, 505, 270

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 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270


GCD of numbers is the greatest common divisor

So, the GCD (563, 677, 505, 270) = 1.

Find GCD of 563, 677, 505, 270 using Prime Factorization

Given numbers are 563, 677, 505, 270

The list of prime factors of all numbers are

Prime factors of 563 are 563

Prime factors of 677 are 677

Prime factors of 505 are 5 x 101

Prime factors of 270 are 2 x 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, 677, 505, 270 using LCM Formula

Given numbers are 563, 677, 505, 270

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

Apply this formula for all numbers.

Step1:

LCM(563, 677) = 381151

GCD(563, 677) = ( 563 x 677 ) / 381151

= 563 / 677

= 563


Step2:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1


Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1


So, Greatest Common Divisor of 563, 677, 505, 270 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 563, 677, 505, 270

Given numbers are 563, 677, 505, 270
The greatest common divisor of numbers 563, 677, 505, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 563, 677, 505, 270 is 1.

FAQs on GCD of 563, 677, 505, 270 Calculator

1. What is the GCD of 563, 677, 505, 270?

GCD of given numbers 563, 677, 505, 270 is 1


2. How to calculate the greatest common divisor of 563, 677, 505, 270?

We can find the highest common divisor of 563, 677, 505, 270 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, 677, 505, 270 i.e 1.


3. How can I use the GCD of 563, 677, 505, 270Calculator?

Out the numbers 563, 677, 505, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.