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GCD of 462, 381, 448, 909 Calculator

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


Online GCD Calculator is useful to find the GCD of 462, 381, 448, 909 quickly. Get the easiest ways to solve the greatest common divisor of 462, 381, 448, 909 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 381, 448, 909 with Factoring?

Given Input numbers are 462, 381, 448, 909

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909


GCD of numbers is the greatest common divisor

So, the GCD (462, 381, 448, 909) = 1.

Find GCD of 462, 381, 448, 909 using Prime Factorization

Given numbers are 462, 381, 448, 909

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 381 are 3 x 127

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 909 are 3 x 3 x 101

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

Steps to Calculate GCD of 462, 381, 448, 909 using LCM Formula

Given numbers are 462, 381, 448, 909

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

Apply this formula for all numbers.

Step1:

LCM(462, 381) = 58674

GCD(462, 381) = ( 462 x 381 ) / 58674

= 462 / 381

= 462


Step2:

LCM(3, 448) = 1344

GCD(3, 448) = ( 3 x 448 ) / 1344

= 3 / 448

= 3


Step3:

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

= 1 / 909

= 1


So, Greatest Common Divisor of 462, 381, 448, 909 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 381, 448, 909

Given numbers are 462, 381, 448, 909
The greatest common divisor of numbers 462, 381, 448, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 381, 448, 909 is 1.

FAQs on GCD of 462, 381, 448, 909 Calculator

1. What is the GCD of 462, 381, 448, 909?

GCD of given numbers 462, 381, 448, 909 is 1


2. How to calculate the greatest common divisor of 462, 381, 448, 909?

We can find the highest common divisor of 462, 381, 448, 909 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 462, 381, 448, 909 i.e 1.


3. How can I use the GCD of 462, 381, 448, 909Calculator?

Out the numbers 462, 381, 448, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.