GCD of 770, 212, 11, 659 Calculator

Given Input numbers are 770, 212, 11, 659

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 659

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

1, 659

Greatest Common Divisior

We found the divisors of 770, 212, 11, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 212, 11, 659 is 1.

Therefore, GCD of numbers 770, 212, 11, 659 is 1

Given Input Data is 770, 212, 11, 659

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 212 is 2 x 2 x 53

Prime Factorization of 11 is 11

Prime Factorization of 659 is 659

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, 212) = 81620

GCD(770, 212) = ( 770 x 212 ) / 81620

GCD(770, 212) = 163240 / 81620

GCD(770, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 770, 212, 11, 659 is 1

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1. What is the GCD of 770, 212, 11, 659?

GCD of 770, 212, 11, 659 is 1

2. Where do I get the detailed procedure to find GCD of 770, 212, 11, 659?

You can find a detailed procedure to find GCD of 770, 212, 11, 659 on our page.

3. How to find GCD of 770, 212, 11, 659 on a calculator?

You can find the GCD of 770, 212, 11, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.