GCD of 349, 869, 640, 560 Calculator

Given Input numbers are 349, 869, 640, 560

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

Divisors of 349

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

1, 349

Divisors of 869

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

1, 11, 79, 869

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 349, 869, 640, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 869, 640, 560 is 1.

Therefore, GCD of numbers 349, 869, 640, 560 is 1

Given Input Data is 349, 869, 640, 560

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

Prime Factorization of 349 is 349

Prime Factorization of 869 is 11 x 79

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(349, 869) = 303281

GCD(349, 869) = ( 349 x 869 ) / 303281

GCD(349, 869) = 303281 / 303281

GCD(349, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 349, 869, 640, 560 is 1

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1. What is the GCD of 349, 869, 640, 560?

GCD of 349, 869, 640, 560 is 1

2. Where do I get the detailed procedure to find GCD of 349, 869, 640, 560?

You can find a detailed procedure to find GCD of 349, 869, 640, 560 on our page.

3. How to find GCD of 349, 869, 640, 560 on a calculator?

You can find the GCD of 349, 869, 640, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.