GCD of 987, 777, 69, 416 Calculator

Given Input numbers are 987, 777, 69, 416

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 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 987, 777, 69, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 777, 69, 416 is 1.

Therefore, GCD of numbers 987, 777, 69, 416 is 1

Given Input Data is 987, 777, 69, 416

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 777 is 3 x 7 x 37

Prime Factorization of 69 is 3 x 23

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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, 777) = 36519

GCD(987, 777) = ( 987 x 777 ) / 36519

GCD(987, 777) = 766899 / 36519

GCD(987, 777) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 69

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

LCM(21, 69) = 483

GCD(21, 69) = ( 21 x 69 ) / 483

GCD(21, 69) = 1449 / 483

GCD(21, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 416

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

LCM(3, 416) = 1248

GCD(3, 416) = ( 3 x 416 ) / 1248

GCD(3, 416) = 1248 / 1248

GCD(3, 416) = 1

GCD of 987, 777, 69, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 457, 94, 269
• GCD of 506, 261, 86, 821
• GCD of 993, 630, 49, 741
• GCD of 661, 664, 19, 599
• GCD of 369, 525, 97, 856

1. What is the GCD of 987, 777, 69, 416?

GCD of 987, 777, 69, 416 is 1

2. Where do I get the detailed procedure to find GCD of 987, 777, 69, 416?

You can find a detailed procedure to find GCD of 987, 777, 69, 416 on our page.

3. How to find GCD of 987, 777, 69, 416 on a calculator?

You can find the GCD of 987, 777, 69, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.