GCD of 784, 120, 25, 987 Calculator

Given Input numbers are 784, 120, 25, 987

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 987

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

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

Greatest Common Divisior

We found the divisors of 784, 120, 25, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 120, 25, 987 is 1.

Therefore, GCD of numbers 784, 120, 25, 987 is 1

Given Input Data is 784, 120, 25, 987

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 25 is 5 x 5

Prime Factorization of 987 is 3 x 7 x 47

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(784, 120) = 11760

GCD(784, 120) = ( 784 x 120 ) / 11760

GCD(784, 120) = 94080 / 11760

GCD(784, 120) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 25

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

LCM(8, 25) = 200

GCD(8, 25) = ( 8 x 25 ) / 200

GCD(8, 25) = 200 / 200

GCD(8, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 784, 120, 25, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 200, 47, 387
• GCD of 683, 250, 78, 810
• GCD of 456, 995, 73, 893
• GCD of 701, 778, 86, 379
• GCD of 387, 733, 21, 462

1. What is the GCD of 784, 120, 25, 987?

GCD of 784, 120, 25, 987 is 1

2. Where do I get the detailed procedure to find GCD of 784, 120, 25, 987?

You can find a detailed procedure to find GCD of 784, 120, 25, 987 on our page.

3. How to find GCD of 784, 120, 25, 987 on a calculator?

You can find the GCD of 784, 120, 25, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.