GCD of 155, 895, 807, 208 Calculator

Given Input numbers are 155, 895, 807, 208

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

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

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

Greatest Common Divisior

We found the divisors of 155, 895, 807, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 895, 807, 208 is 1.

Therefore, GCD of numbers 155, 895, 807, 208 is 1

Given Input Data is 155, 895, 807, 208

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

Prime Factorization of 155 is 5 x 31

Prime Factorization of 895 is 5 x 179

Prime Factorization of 807 is 3 x 269

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(155, 895) = 27745

GCD(155, 895) = ( 155 x 895 ) / 27745

GCD(155, 895) = 138725 / 27745

GCD(155, 895) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 807

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

LCM(5, 807) = 4035

GCD(5, 807) = ( 5 x 807 ) / 4035

GCD(5, 807) = 4035 / 4035

GCD(5, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 155, 895, 807, 208 is 1

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1. What is the GCD of 155, 895, 807, 208?

GCD of 155, 895, 807, 208 is 1

2. Where do I get the detailed procedure to find GCD of 155, 895, 807, 208?

You can find a detailed procedure to find GCD of 155, 895, 807, 208 on our page.

3. How to find GCD of 155, 895, 807, 208 on a calculator?

You can find the GCD of 155, 895, 807, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.