GCD of 686, 852, 75, 991 Calculator

Given Input numbers are 686, 852, 75, 991

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 686, 852, 75, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 852, 75, 991 is 1.

Therefore, GCD of numbers 686, 852, 75, 991 is 1

Given Input Data is 686, 852, 75, 991

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 852 is 2 x 2 x 3 x 71

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 991 is 991

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, 852) = 292236

GCD(686, 852) = ( 686 x 852 ) / 292236

GCD(686, 852) = 584472 / 292236

GCD(686, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 686, 852, 75, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 741, 85, 173
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• GCD of 309, 882, 35, 340

1. What is the GCD of 686, 852, 75, 991?

GCD of 686, 852, 75, 991 is 1

2. Where do I get the detailed procedure to find GCD of 686, 852, 75, 991?

You can find a detailed procedure to find GCD of 686, 852, 75, 991 on our page.

3. How to find GCD of 686, 852, 75, 991 on a calculator?

You can find the GCD of 686, 852, 75, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.