GCD of 454, 126, 960, 463 Calculator

Given Input numbers are 454, 126, 960, 463

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 454, 126, 960, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 126, 960, 463 is 1.

Therefore, GCD of numbers 454, 126, 960, 463 is 1

Given Input Data is 454, 126, 960, 463

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 454 is 2 x 227

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 463 is 463

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(454, 126) = 28602

GCD(454, 126) = ( 454 x 126 ) / 28602

GCD(454, 126) = 57204 / 28602

GCD(454, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 463

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

LCM(2, 463) = 926

GCD(2, 463) = ( 2 x 463 ) / 926

GCD(2, 463) = 926 / 926

GCD(2, 463) = 1

GCD of 454, 126, 960, 463 is 1

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• GCD of 197, 969, 585, 231
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• GCD of 534, 687, 567, 930

1. What is the GCD of 454, 126, 960, 463?

GCD of 454, 126, 960, 463 is 1

2. Where do I get the detailed procedure to find GCD of 454, 126, 960, 463?

You can find a detailed procedure to find GCD of 454, 126, 960, 463 on our page.

3. How to find GCD of 454, 126, 960, 463 on a calculator?

You can find the GCD of 454, 126, 960, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.