GCD of 145, 565, 914, 879 Calculator

Given Input numbers are 145, 565, 914, 879

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 565

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

1, 5, 113, 565

Divisors of 914

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

1, 2, 457, 914

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 145, 565, 914, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 565, 914, 879 is 1.

Therefore, GCD of numbers 145, 565, 914, 879 is 1

Given Input Data is 145, 565, 914, 879

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 565 is 5 x 113

Prime Factorization of 914 is 2 x 457

Prime Factorization of 879 is 3 x 293

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(145, 565) = 16385

GCD(145, 565) = ( 145 x 565 ) / 16385

GCD(145, 565) = 81925 / 16385

GCD(145, 565) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 914

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

LCM(5, 914) = 4570

GCD(5, 914) = ( 5 x 914 ) / 4570

GCD(5, 914) = 4570 / 4570

GCD(5, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

GCD of 145, 565, 914, 879 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 896, 291, 819
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1. What is the GCD of 145, 565, 914, 879?

GCD of 145, 565, 914, 879 is 1

2. Where do I get the detailed procedure to find GCD of 145, 565, 914, 879?

You can find a detailed procedure to find GCD of 145, 565, 914, 879 on our page.

3. How to find GCD of 145, 565, 914, 879 on a calculator?

You can find the GCD of 145, 565, 914, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.