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GCD of 460, 271, 490, 653 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, 271, 490, 653 quickly. Get the easiest ways to solve the greatest common divisor of 460, 271, 490, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 460, 271, 490, 653 with Factoring?

Given Input numbers are 460, 271, 490, 653

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 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653


GCD of numbers is the greatest common divisor

So, the GCD (460, 271, 490, 653) = 1.

Find GCD of 460, 271, 490, 653 using Prime Factorization

Given numbers are 460, 271, 490, 653

The list of prime factors of all numbers are

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

Prime factors of 271 are 271

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 653 are 653

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

Steps to Calculate GCD of 460, 271, 490, 653 using LCM Formula

Given numbers are 460, 271, 490, 653

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

Apply this formula for all numbers.

Step1:

LCM(460, 271) = 124660

GCD(460, 271) = ( 460 x 271 ) / 124660

= 460 / 271

= 460


Step2:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1


Step3:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1


So, Greatest Common Divisor of 460, 271, 490, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 460, 271, 490, 653

Given numbers are 460, 271, 490, 653
The greatest common divisor of numbers 460, 271, 490, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 271, 490, 653 is 1.

FAQs on GCD of 460, 271, 490, 653 Calculator

1. What is the GCD of 460, 271, 490, 653?

GCD of given numbers 460, 271, 490, 653 is 1


2. How to calculate the greatest common divisor of 460, 271, 490, 653?

We can find the highest common divisor of 460, 271, 490, 653 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, 271, 490, 653 i.e 1.


3. How can I use the GCD of 460, 271, 490, 653Calculator?

Out the numbers 460, 271, 490, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.