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GCD of 488, 745, 421, 567 Calculator

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


Online GCD Calculator is useful to find the GCD of 488, 745, 421, 567 quickly. Get the easiest ways to solve the greatest common divisor of 488, 745, 421, 567 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 488, 745, 421, 567 with Factoring?

Given Input numbers are 488, 745, 421, 567

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567


GCD of numbers is the greatest common divisor

So, the GCD (488, 745, 421, 567) = 1.

Find GCD of 488, 745, 421, 567 using Prime Factorization

Given numbers are 488, 745, 421, 567

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 745 are 5 x 149

Prime factors of 421 are 421

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 488, 745, 421, 567 using LCM Formula

Given numbers are 488, 745, 421, 567

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

Apply this formula for all numbers.

Step1:

LCM(488, 745) = 363560

GCD(488, 745) = ( 488 x 745 ) / 363560

= 488 / 745

= 488


Step2:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1


Step3:

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

= 1 / 567

= 1


So, Greatest Common Divisor of 488, 745, 421, 567 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 488, 745, 421, 567

Given numbers are 488, 745, 421, 567
The greatest common divisor of numbers 488, 745, 421, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 745, 421, 567 is 1.

FAQs on GCD of 488, 745, 421, 567 Calculator

1. What is the GCD of 488, 745, 421, 567?

GCD of given numbers 488, 745, 421, 567 is 1


2. How to calculate the greatest common divisor of 488, 745, 421, 567?

We can find the highest common divisor of 488, 745, 421, 567 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 488, 745, 421, 567 i.e 1.


3. How can I use the GCD of 488, 745, 421, 567Calculator?

Out the numbers 488, 745, 421, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.