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GCD of 421, 505, 491, 634 Calculator

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


Online GCD Calculator is useful to find the GCD of 421, 505, 491, 634 quickly. Get the easiest ways to solve the greatest common divisor of 421, 505, 491, 634 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 421, 505, 491, 634 with Factoring?

Given Input numbers are 421, 505, 491, 634

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

Divisors of 421 :

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

1, 421

Divisors of 505 :

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

1, 5, 101, 505

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634


GCD of numbers is the greatest common divisor

So, the GCD (421, 505, 491, 634) = 1.

Find GCD of 421, 505, 491, 634 using Prime Factorization

Given numbers are 421, 505, 491, 634

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 505 are 5 x 101

Prime factors of 491 are 491

Prime factors of 634 are 2 x 317

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

Steps to Calculate GCD of 421, 505, 491, 634 using LCM Formula

Given numbers are 421, 505, 491, 634

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

Apply this formula for all numbers.

Step1:

LCM(421, 505) = 212605

GCD(421, 505) = ( 421 x 505 ) / 212605

= 421 / 505

= 421


Step2:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1


Step3:

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

= 1 / 634

= 1


So, Greatest Common Divisor of 421, 505, 491, 634 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 421, 505, 491, 634

Given numbers are 421, 505, 491, 634
The greatest common divisor of numbers 421, 505, 491, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 505, 491, 634 is 1.

FAQs on GCD of 421, 505, 491, 634 Calculator

1. What is the GCD of 421, 505, 491, 634?

GCD of given numbers 421, 505, 491, 634 is 1


2. How to calculate the greatest common divisor of 421, 505, 491, 634?

We can find the highest common divisor of 421, 505, 491, 634 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 421, 505, 491, 634 i.e 1.


3. How can I use the GCD of 421, 505, 491, 634Calculator?

Out the numbers 421, 505, 491, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.