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GCD of 408, 132, 896, 467 Calculator

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


Online GCD Calculator is useful to find the GCD of 408, 132, 896, 467 quickly. Get the easiest ways to solve the greatest common divisor of 408, 132, 896, 467 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 408, 132, 896, 467 with Factoring?

Given Input numbers are 408, 132, 896, 467

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467


GCD of numbers is the greatest common divisor

So, the GCD (408, 132, 896, 467) = 1.

Find GCD of 408, 132, 896, 467 using Prime Factorization

Given numbers are 408, 132, 896, 467

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 467 are 467

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

Steps to Calculate GCD of 408, 132, 896, 467 using LCM Formula

Given numbers are 408, 132, 896, 467

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

Apply this formula for all numbers.

Step1:

LCM(408, 132) = 4488

GCD(408, 132) = ( 408 x 132 ) / 4488

= 408 / 132

= 408


Step2:

LCM(12, 896) = 2688

GCD(12, 896) = ( 12 x 896 ) / 2688

= 12 / 896

= 12


Step3:

LCM(4, 467) = 1868

GCD(4, 467) = ( 4 x 467 ) / 1868

= 4 / 467

= 4


So, Greatest Common Divisor of 408, 132, 896, 467 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 408, 132, 896, 467

Given numbers are 408, 132, 896, 467
The greatest common divisor of numbers 408, 132, 896, 467 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 132, 896, 467 is 1.

FAQs on GCD of 408, 132, 896, 467 Calculator

1. What is the GCD of 408, 132, 896, 467?

GCD of given numbers 408, 132, 896, 467 is 1


2. How to calculate the greatest common divisor of 408, 132, 896, 467?

We can find the highest common divisor of 408, 132, 896, 467 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 408, 132, 896, 467 i.e 1.


3. How can I use the GCD of 408, 132, 896, 467Calculator?

Out the numbers 408, 132, 896, 467 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.