GCD of 416, 899, 145, 158 Calculator

Given Input numbers are 416, 899, 145, 158

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 145

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

1, 5, 29, 145

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 416, 899, 145, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 899, 145, 158 is 1.

Therefore, GCD of numbers 416, 899, 145, 158 is 1

Given Input Data is 416, 899, 145, 158

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 899 is 29 x 31

Prime Factorization of 145 is 5 x 29

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(416, 899) = 373984

GCD(416, 899) = ( 416 x 899 ) / 373984

GCD(416, 899) = 373984 / 373984

GCD(416, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 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 416, 899, 145, 158 is 1

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1. What is the GCD of 416, 899, 145, 158?

GCD of 416, 899, 145, 158 is 1

2. Where do I get the detailed procedure to find GCD of 416, 899, 145, 158?

You can find a detailed procedure to find GCD of 416, 899, 145, 158 on our page.

3. How to find GCD of 416, 899, 145, 158 on a calculator?

You can find the GCD of 416, 899, 145, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.