GCD of 987, 547, 69, 760 Calculator

Given Input numbers are 987, 547, 69, 760

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 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 69

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

1, 3, 23, 69

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 987, 547, 69, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 547, 69, 760 is 1.

Therefore, GCD of numbers 987, 547, 69, 760 is 1

Given Input Data is 987, 547, 69, 760

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 547 is 547

Prime Factorization of 69 is 3 x 23

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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, 547) = 539889

GCD(987, 547) = ( 987 x 547 ) / 539889

GCD(987, 547) = 539889 / 539889

GCD(987, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 987, 547, 69, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 381, 83, 642
• GCD of 429, 472, 50, 258
• GCD of 388, 430, 30, 149
• GCD of 420, 780, 68, 200
• GCD of 604, 918, 50, 352

1. What is the GCD of 987, 547, 69, 760?

GCD of 987, 547, 69, 760 is 1

2. Where do I get the detailed procedure to find GCD of 987, 547, 69, 760?

You can find a detailed procedure to find GCD of 987, 547, 69, 760 on our page.

3. How to find GCD of 987, 547, 69, 760 on a calculator?

You can find the GCD of 987, 547, 69, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.