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GCD of 460, 436, 252, 659 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, 436, 252, 659 quickly. Get the easiest ways to solve the greatest common divisor of 460, 436, 252, 659 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 460, 436, 252, 659 with Factoring?

Given Input numbers are 460, 436, 252, 659

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 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659


GCD of numbers is the greatest common divisor

So, the GCD (460, 436, 252, 659) = 1.

Find GCD of 460, 436, 252, 659 using Prime Factorization

Given numbers are 460, 436, 252, 659

The list of prime factors of all numbers are

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

Prime factors of 436 are 2 x 2 x 109

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 659 are 659

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

Steps to Calculate GCD of 460, 436, 252, 659 using LCM Formula

Given numbers are 460, 436, 252, 659

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

Apply this formula for all numbers.

Step1:

LCM(460, 436) = 50140

GCD(460, 436) = ( 460 x 436 ) / 50140

= 460 / 436

= 460


Step2:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4


Step3:

LCM(4, 659) = 2636

GCD(4, 659) = ( 4 x 659 ) / 2636

= 4 / 659

= 4


So, Greatest Common Divisor of 460, 436, 252, 659 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 460, 436, 252, 659

Given numbers are 460, 436, 252, 659
The greatest common divisor of numbers 460, 436, 252, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 436, 252, 659 is 1.

FAQs on GCD of 460, 436, 252, 659 Calculator

1. What is the GCD of 460, 436, 252, 659?

GCD of given numbers 460, 436, 252, 659 is 1


2. How to calculate the greatest common divisor of 460, 436, 252, 659?

We can find the highest common divisor of 460, 436, 252, 659 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, 436, 252, 659 i.e 1.


3. How can I use the GCD of 460, 436, 252, 659Calculator?

Out the numbers 460, 436, 252, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.