GCD of 986, 787, 375, 699 Calculator

Given Input numbers are 986, 787, 375, 699

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 986, 787, 375, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 787, 375, 699 is 1.

Therefore, GCD of numbers 986, 787, 375, 699 is 1

Given Input Data is 986, 787, 375, 699

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 787 is 787

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 699 is 3 x 233

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(986, 787) = 775982

GCD(986, 787) = ( 986 x 787 ) / 775982

GCD(986, 787) = 775982 / 775982

GCD(986, 787) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 986, 787, 375, 699 is 1

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1. What is the GCD of 986, 787, 375, 699?

GCD of 986, 787, 375, 699 is 1

2. Where do I get the detailed procedure to find GCD of 986, 787, 375, 699?

You can find a detailed procedure to find GCD of 986, 787, 375, 699 on our page.

3. How to find GCD of 986, 787, 375, 699 on a calculator?

You can find the GCD of 986, 787, 375, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.