GCD of 450, 686, 48, 971 Calculator

Given Input numbers are 450, 686, 48, 971

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

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 450, 686, 48, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 686, 48, 971 is 1.

Therefore, GCD of numbers 450, 686, 48, 971 is 1

Given Input Data is 450, 686, 48, 971

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

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 971 is 971

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(450, 686) = 154350

GCD(450, 686) = ( 450 x 686 ) / 154350

GCD(450, 686) = 308700 / 154350

GCD(450, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

GCD of 450, 686, 48, 971 is 1

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1. What is the GCD of 450, 686, 48, 971?

GCD of 450, 686, 48, 971 is 1

2. Where do I get the detailed procedure to find GCD of 450, 686, 48, 971?

You can find a detailed procedure to find GCD of 450, 686, 48, 971 on our page.

3. How to find GCD of 450, 686, 48, 971 on a calculator?

You can find the GCD of 450, 686, 48, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.