GCD of 976, 829, 461, 450 Calculator

Given Input numbers are 976, 829, 461, 450

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 976, 829, 461, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 829, 461, 450 is 1.

Therefore, GCD of numbers 976, 829, 461, 450 is 1

Given Input Data is 976, 829, 461, 450

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 829 is 829

Prime Factorization of 461 is 461

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(976, 829) = 809104

GCD(976, 829) = ( 976 x 829 ) / 809104

GCD(976, 829) = 809104 / 809104

GCD(976, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 976, 829, 461, 450 is 1

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• GCD of 423, 576, 296, 206
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• GCD of 516, 288, 519, 590

1. What is the GCD of 976, 829, 461, 450?

GCD of 976, 829, 461, 450 is 1

2. Where do I get the detailed procedure to find GCD of 976, 829, 461, 450?

You can find a detailed procedure to find GCD of 976, 829, 461, 450 on our page.

3. How to find GCD of 976, 829, 461, 450 on a calculator?

You can find the GCD of 976, 829, 461, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.