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GCD of 490, 271, 466, 524 Calculator

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


Online GCD Calculator is useful to find the GCD of 490, 271, 466, 524 quickly. Get the easiest ways to solve the greatest common divisor of 490, 271, 466, 524 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 490, 271, 466, 524 with Factoring?

Given Input numbers are 490, 271, 466, 524

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

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 271 :

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

1, 271

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524


GCD of numbers is the greatest common divisor

So, the GCD (490, 271, 466, 524) = 1.

Find GCD of 490, 271, 466, 524 using Prime Factorization

Given numbers are 490, 271, 466, 524

The list of prime factors of all numbers are

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

Prime factors of 271 are 271

Prime factors of 466 are 2 x 233

Prime factors of 524 are 2 x 2 x 131

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

Steps to Calculate GCD of 490, 271, 466, 524 using LCM Formula

Given numbers are 490, 271, 466, 524

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

Apply this formula for all numbers.

Step1:

LCM(490, 271) = 132790

GCD(490, 271) = ( 490 x 271 ) / 132790

= 490 / 271

= 490


Step2:

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

= 1 / 466

= 1


Step3:

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

= 1 / 524

= 1


So, Greatest Common Divisor of 490, 271, 466, 524 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 490, 271, 466, 524

Given numbers are 490, 271, 466, 524
The greatest common divisor of numbers 490, 271, 466, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 271, 466, 524 is 1.

FAQs on GCD of 490, 271, 466, 524 Calculator

1. What is the GCD of 490, 271, 466, 524?

GCD of given numbers 490, 271, 466, 524 is 1


2. How to calculate the greatest common divisor of 490, 271, 466, 524?

We can find the highest common divisor of 490, 271, 466, 524 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 490, 271, 466, 524 i.e 1.


3. How can I use the GCD of 490, 271, 466, 524Calculator?

Out the numbers 490, 271, 466, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.