GCD of 878, 144, 695, 158 Calculator

Given Input numbers are 878, 144, 695, 158

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 878, 144, 695, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 144, 695, 158 is 1.

Therefore, GCD of numbers 878, 144, 695, 158 is 1

Given Input Data is 878, 144, 695, 158

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 695 is 5 x 139

Prime Factorization of 158 is 2 x 79

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(878, 144) = 63216

GCD(878, 144) = ( 878 x 144 ) / 63216

GCD(878, 144) = 126432 / 63216

GCD(878, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 695

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

LCM(2, 695) = 1390

GCD(2, 695) = ( 2 x 695 ) / 1390

GCD(2, 695) = 1390 / 1390

GCD(2, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 878, 144, 695, 158 is 1

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1. What is the GCD of 878, 144, 695, 158?

GCD of 878, 144, 695, 158 is 1

2. Where do I get the detailed procedure to find GCD of 878, 144, 695, 158?

You can find a detailed procedure to find GCD of 878, 144, 695, 158 on our page.

3. How to find GCD of 878, 144, 695, 158 on a calculator?

You can find the GCD of 878, 144, 695, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.