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GCD of 466, 764, 436, 360 Calculator

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


Online GCD Calculator is useful to find the GCD of 466, 764, 436, 360 quickly. Get the easiest ways to solve the greatest common divisor of 466, 764, 436, 360 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 466, 764, 436, 360 with Factoring?

Given Input numbers are 466, 764, 436, 360

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

Divisors of 466 :

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

1, 2, 233, 466

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 436 :

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

1, 2, 4, 109, 218, 436

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360


GCD of numbers is the greatest common divisor

So, the GCD (466, 764, 436, 360) = 2.

Find GCD of 466, 764, 436, 360 using Prime Factorization

Given numbers are 466, 764, 436, 360

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

Prime factors of 764 are 2 x 2 x 191

Prime factors of 436 are 2 x 2 x 109

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 466, 764, 436, 360 is 2.

Steps to Calculate GCD of 466, 764, 436, 360 using LCM Formula

Given numbers are 466, 764, 436, 360

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

Apply this formula for all numbers.

Step1:

LCM(466, 764) = 178012

GCD(466, 764) = ( 466 x 764 ) / 178012

= 466 / 764

= 466


Step2:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2


Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2


So, Greatest Common Divisor of 466, 764, 436, 360 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 466, 764, 436, 360

Given numbers are 466, 764, 436, 360
The greatest common divisor of numbers 466, 764, 436, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 764, 436, 360 is 2.

FAQs on GCD of 466, 764, 436, 360 Calculator

1. What is the GCD of 466, 764, 436, 360?

GCD of given numbers 466, 764, 436, 360 is 2


2. How to calculate the greatest common divisor of 466, 764, 436, 360?

We can find the highest common divisor of 466, 764, 436, 360 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 466, 764, 436, 360 i.e 2.


3. How can I use the GCD of 466, 764, 436, 360Calculator?

Out the numbers 466, 764, 436, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.