GCD of 986, 974, 45, 533 Calculator

Given Input numbers are 986, 974, 45, 533

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 986, 974, 45, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 974, 45, 533 is 1.

Therefore, GCD of numbers 986, 974, 45, 533 is 1

Given Input Data is 986, 974, 45, 533

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 974 is 2 x 487

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 533 is 13 x 41

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(986, 974) = 480182

GCD(986, 974) = ( 986 x 974 ) / 480182

GCD(986, 974) = 960364 / 480182

GCD(986, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 986, 974, 45, 533 is 1

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1. What is the GCD of 986, 974, 45, 533?

GCD of 986, 974, 45, 533 is 1

2. Where do I get the detailed procedure to find GCD of 986, 974, 45, 533?

You can find a detailed procedure to find GCD of 986, 974, 45, 533 on our page.

3. How to find GCD of 986, 974, 45, 533 on a calculator?

You can find the GCD of 986, 974, 45, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.