GCD of 359, 161, 170, 914 Calculator

Given Input numbers are 359, 161, 170, 914

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 359, 161, 170, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 161, 170, 914 is 1.

Therefore, GCD of numbers 359, 161, 170, 914 is 1

Given Input Data is 359, 161, 170, 914

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

Prime Factorization of 359 is 359

Prime Factorization of 161 is 7 x 23

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 914 is 2 x 457

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(359, 161) = 57799

GCD(359, 161) = ( 359 x 161 ) / 57799

GCD(359, 161) = 57799 / 57799

GCD(359, 161) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 359, 161, 170, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 108, 342, 524
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• GCD of 438, 672, 459, 696
• GCD of 804, 881, 548, 165

1. What is the GCD of 359, 161, 170, 914?

GCD of 359, 161, 170, 914 is 1

2. Where do I get the detailed procedure to find GCD of 359, 161, 170, 914?

You can find a detailed procedure to find GCD of 359, 161, 170, 914 on our page.

3. How to find GCD of 359, 161, 170, 914 on a calculator?

You can find the GCD of 359, 161, 170, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.