GCD of 987, 823, 84, 374 Calculator

Given Input numbers are 987, 823, 84, 374

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 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 987, 823, 84, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 823, 84, 374 is 1.

Therefore, GCD of numbers 987, 823, 84, 374 is 1

Given Input Data is 987, 823, 84, 374

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 823 is 823

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 374 is 2 x 11 x 17

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, 823) = 812301

GCD(987, 823) = ( 987 x 823 ) / 812301

GCD(987, 823) = 812301 / 812301

GCD(987, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 987, 823, 84, 374 is 1

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• GCD of 669, 345, 35, 665
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1. What is the GCD of 987, 823, 84, 374?

GCD of 987, 823, 84, 374 is 1

2. Where do I get the detailed procedure to find GCD of 987, 823, 84, 374?

You can find a detailed procedure to find GCD of 987, 823, 84, 374 on our page.

3. How to find GCD of 987, 823, 84, 374 on a calculator?

You can find the GCD of 987, 823, 84, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.