GCD of 987, 474, 74, 965 Calculator

Given Input numbers are 987, 474, 74, 965

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 987, 474, 74, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 474, 74, 965 is 1.

Therefore, GCD of numbers 987, 474, 74, 965 is 1

Given Input Data is 987, 474, 74, 965

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 74 is 2 x 37

Prime Factorization of 965 is 5 x 193

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(987, 474) = 155946

GCD(987, 474) = ( 987 x 474 ) / 155946

GCD(987, 474) = 467838 / 155946

GCD(987, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 987, 474, 74, 965 is 1

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1. What is the GCD of 987, 474, 74, 965?

GCD of 987, 474, 74, 965 is 1

2. Where do I get the detailed procedure to find GCD of 987, 474, 74, 965?

You can find a detailed procedure to find GCD of 987, 474, 74, 965 on our page.

3. How to find GCD of 987, 474, 74, 965 on a calculator?

You can find the GCD of 987, 474, 74, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.