GCD of 67, 895, 961, 408 Calculator

Given Input numbers are 67, 895, 961, 408

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 895

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

1, 5, 179, 895

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 67, 895, 961, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 895, 961, 408 is 1.

Therefore, GCD of numbers 67, 895, 961, 408 is 1

Given Input Data is 67, 895, 961, 408

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

Prime Factorization of 67 is 67

Prime Factorization of 895 is 5 x 179

Prime Factorization of 961 is 31 x 31

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(67, 895) = 59965

GCD(67, 895) = ( 67 x 895 ) / 59965

GCD(67, 895) = 59965 / 59965

GCD(67, 895) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 67, 895, 961, 408 is 1

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1. What is the GCD of 67, 895, 961, 408?

GCD of 67, 895, 961, 408 is 1

2. Where do I get the detailed procedure to find GCD of 67, 895, 961, 408?

You can find a detailed procedure to find GCD of 67, 895, 961, 408 on our page.

3. How to find GCD of 67, 895, 961, 408 on a calculator?

You can find the GCD of 67, 895, 961, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.