GCD of 987, 705, 40, 857 Calculator

Given Input numbers are 987, 705, 40, 857

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 987, 705, 40, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 705, 40, 857 is 1.

Therefore, GCD of numbers 987, 705, 40, 857 is 1

Given Input Data is 987, 705, 40, 857

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 705 is 3 x 5 x 47

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 857 is 857

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, 705) = 4935

GCD(987, 705) = ( 987 x 705 ) / 4935

GCD(987, 705) = 695835 / 4935

GCD(987, 705) = 141

Step2:

Here we consider the GCD from the above i.e. 141 as first number and the next as 40

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

LCM(141, 40) = 5640

GCD(141, 40) = ( 141 x 40 ) / 5640

GCD(141, 40) = 5640 / 5640

GCD(141, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 987, 705, 40, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 313, 46, 308
• GCD of 800, 259, 59, 129
• GCD of 590, 320, 86, 221
• GCD of 211, 194, 96, 957
• GCD of 991, 584, 71, 109

1. What is the GCD of 987, 705, 40, 857?

GCD of 987, 705, 40, 857 is 1

2. Where do I get the detailed procedure to find GCD of 987, 705, 40, 857?

You can find a detailed procedure to find GCD of 987, 705, 40, 857 on our page.

3. How to find GCD of 987, 705, 40, 857 on a calculator?

You can find the GCD of 987, 705, 40, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.