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GCD of 466, 478, 952, 772 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, 478, 952, 772 quickly. Get the easiest ways to solve the greatest common divisor of 466, 478, 952, 772 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 466, 478, 952, 772 with Factoring?

Given Input numbers are 466, 478, 952, 772

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (466, 478, 952, 772) = 2.

Find GCD of 466, 478, 952, 772 using Prime Factorization

Given numbers are 466, 478, 952, 772

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

Prime factors of 478 are 2 x 239

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 21

Therefore, GCD of 466, 478, 952, 772 is 2.

Steps to Calculate GCD of 466, 478, 952, 772 using LCM Formula

Given numbers are 466, 478, 952, 772

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

Apply this formula for all numbers.

Step1:

LCM(466, 478) = 111374

GCD(466, 478) = ( 466 x 478 ) / 111374

= 466 / 478

= 466


Step2:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2


Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2


So, Greatest Common Divisor of 466, 478, 952, 772 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 466, 478, 952, 772

Given numbers are 466, 478, 952, 772
The greatest common divisor of numbers 466, 478, 952, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 478, 952, 772 is 2.

FAQs on GCD of 466, 478, 952, 772 Calculator

1. What is the GCD of 466, 478, 952, 772?

GCD of given numbers 466, 478, 952, 772 is 2


2. How to calculate the greatest common divisor of 466, 478, 952, 772?

We can find the highest common divisor of 466, 478, 952, 772 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, 478, 952, 772 i.e 2.


3. How can I use the GCD of 466, 478, 952, 772Calculator?

Out the numbers 466, 478, 952, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.