GCD of 686, 987, 25, 747 Calculator

Given Input numbers are 686, 987, 25, 747

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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 25

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

1, 5, 25

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 686, 987, 25, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 987, 25, 747 is 1.

Therefore, GCD of numbers 686, 987, 25, 747 is 1

Given Input Data is 686, 987, 25, 747

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 25 is 5 x 5

Prime Factorization of 747 is 3 x 3 x 83

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(686, 987) = 96726

GCD(686, 987) = ( 686 x 987 ) / 96726

GCD(686, 987) = 677082 / 96726

GCD(686, 987) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 25

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

LCM(7, 25) = 175

GCD(7, 25) = ( 7 x 25 ) / 175

GCD(7, 25) = 175 / 175

GCD(7, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 686, 987, 25, 747 is 1

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1. What is the GCD of 686, 987, 25, 747?

GCD of 686, 987, 25, 747 is 1

2. Where do I get the detailed procedure to find GCD of 686, 987, 25, 747?

You can find a detailed procedure to find GCD of 686, 987, 25, 747 on our page.

3. How to find GCD of 686, 987, 25, 747 on a calculator?

You can find the GCD of 686, 987, 25, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.