GCD of 348, 569, 886, 770 Calculator

Given Input numbers are 348, 569, 886, 770

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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

Greatest Common Divisior

We found the divisors of 348, 569, 886, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 569, 886, 770 is 1.

Therefore, GCD of numbers 348, 569, 886, 770 is 1

Given Input Data is 348, 569, 886, 770

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 569 is 569

Prime Factorization of 886 is 2 x 443

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

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(348, 569) = 198012

GCD(348, 569) = ( 348 x 569 ) / 198012

GCD(348, 569) = 198012 / 198012

GCD(348, 569) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 348, 569, 886, 770 is 1

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1. What is the GCD of 348, 569, 886, 770?

GCD of 348, 569, 886, 770 is 1

2. Where do I get the detailed procedure to find GCD of 348, 569, 886, 770?

You can find a detailed procedure to find GCD of 348, 569, 886, 770 on our page.

3. How to find GCD of 348, 569, 886, 770 on a calculator?

You can find the GCD of 348, 569, 886, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.