GCD of 349, 100, 915, 565 Calculator

Given Input numbers are 349, 100, 915, 565

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 349, 100, 915, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 100, 915, 565 is 1.

Therefore, GCD of numbers 349, 100, 915, 565 is 1

Given Input Data is 349, 100, 915, 565

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

Prime Factorization of 349 is 349

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 565 is 5 x 113

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, 100) = 34900

GCD(349, 100) = ( 349 x 100 ) / 34900

GCD(349, 100) = 34900 / 34900

GCD(349, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 349, 100, 915, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 966, 174, 469
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• GCD of 901, 222, 469, 105

1. What is the GCD of 349, 100, 915, 565?

GCD of 349, 100, 915, 565 is 1

2. Where do I get the detailed procedure to find GCD of 349, 100, 915, 565?

You can find a detailed procedure to find GCD of 349, 100, 915, 565 on our page.

3. How to find GCD of 349, 100, 915, 565 on a calculator?

You can find the GCD of 349, 100, 915, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.