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GCD of 460, 628, 221, 677 Calculator

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


Online GCD Calculator is useful to find the GCD of 460, 628, 221, 677 quickly. Get the easiest ways to solve the greatest common divisor of 460, 628, 221, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 460, 628, 221, 677 with Factoring?

Given Input numbers are 460, 628, 221, 677

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 677 :

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

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (460, 628, 221, 677) = 1.

Find GCD of 460, 628, 221, 677 using Prime Factorization

Given numbers are 460, 628, 221, 677

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 628 are 2 x 2 x 157

Prime factors of 221 are 13 x 17

Prime factors of 677 are 677

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

Steps to Calculate GCD of 460, 628, 221, 677 using LCM Formula

Given numbers are 460, 628, 221, 677

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

Apply this formula for all numbers.

Step1:

LCM(460, 628) = 72220

GCD(460, 628) = ( 460 x 628 ) / 72220

= 460 / 628

= 460


Step2:

LCM(4, 221) = 884

GCD(4, 221) = ( 4 x 221 ) / 884

= 4 / 221

= 4


Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


So, Greatest Common Divisor of 460, 628, 221, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 460, 628, 221, 677

Given numbers are 460, 628, 221, 677
The greatest common divisor of numbers 460, 628, 221, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 628, 221, 677 is 1.

FAQs on GCD of 460, 628, 221, 677 Calculator

1. What is the GCD of 460, 628, 221, 677?

GCD of given numbers 460, 628, 221, 677 is 1


2. How to calculate the greatest common divisor of 460, 628, 221, 677?

We can find the highest common divisor of 460, 628, 221, 677 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 460, 628, 221, 677 i.e 1.


3. How can I use the GCD of 460, 628, 221, 677Calculator?

Out the numbers 460, 628, 221, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.