GCD of 770, 659, 199, 187 Calculator

Given Input numbers are 770, 659, 199, 187

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 770, 659, 199, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 659, 199, 187 is 1.

Therefore, GCD of numbers 770, 659, 199, 187 is 1

Given Input Data is 770, 659, 199, 187

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 659 is 659

Prime Factorization of 199 is 199

Prime Factorization of 187 is 11 x 17

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(770, 659) = 507430

GCD(770, 659) = ( 770 x 659 ) / 507430

GCD(770, 659) = 507430 / 507430

GCD(770, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 770, 659, 199, 187 is 1

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1. What is the GCD of 770, 659, 199, 187?

GCD of 770, 659, 199, 187 is 1

2. Where do I get the detailed procedure to find GCD of 770, 659, 199, 187?

You can find a detailed procedure to find GCD of 770, 659, 199, 187 on our page.

3. How to find GCD of 770, 659, 199, 187 on a calculator?

You can find the GCD of 770, 659, 199, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.