GCD of 869, 914, 349, 427 Calculator

Given Input numbers are 869, 914, 349, 427

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 869, 914, 349, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 914, 349, 427 is 1.

Therefore, GCD of numbers 869, 914, 349, 427 is 1

Given Input Data is 869, 914, 349, 427

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 914 is 2 x 457

Prime Factorization of 349 is 349

Prime Factorization of 427 is 7 x 61

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(869, 914) = 794266

GCD(869, 914) = ( 869 x 914 ) / 794266

GCD(869, 914) = 794266 / 794266

GCD(869, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 869, 914, 349, 427 is 1

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1. What is the GCD of 869, 914, 349, 427?

GCD of 869, 914, 349, 427 is 1

2. Where do I get the detailed procedure to find GCD of 869, 914, 349, 427?

You can find a detailed procedure to find GCD of 869, 914, 349, 427 on our page.

3. How to find GCD of 869, 914, 349, 427 on a calculator?

You can find the GCD of 869, 914, 349, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.