GCD of 770, 205, 410, 986 Calculator

Given Input numbers are 770, 205, 410, 986

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 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 986

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

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

Greatest Common Divisior

We found the divisors of 770, 205, 410, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 205, 410, 986 is 1.

Therefore, GCD of numbers 770, 205, 410, 986 is 1

Given Input Data is 770, 205, 410, 986

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 205 is 5 x 41

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 986 is 2 x 17 x 29

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, 205) = 31570

GCD(770, 205) = ( 770 x 205 ) / 31570

GCD(770, 205) = 157850 / 31570

GCD(770, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 410

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

LCM(5, 410) = 410

GCD(5, 410) = ( 5 x 410 ) / 410

GCD(5, 410) = 2050 / 410

GCD(5, 410) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 986

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

LCM(5, 986) = 4930

GCD(5, 986) = ( 5 x 986 ) / 4930

GCD(5, 986) = 4930 / 4930

GCD(5, 986) = 1

GCD of 770, 205, 410, 986 is 1

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1. What is the GCD of 770, 205, 410, 986?

GCD of 770, 205, 410, 986 is 1

2. Where do I get the detailed procedure to find GCD of 770, 205, 410, 986?

You can find a detailed procedure to find GCD of 770, 205, 410, 986 on our page.

3. How to find GCD of 770, 205, 410, 986 on a calculator?

You can find the GCD of 770, 205, 410, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.