GCD of 851, 281, 408, 144 Calculator

Given Input numbers are 851, 281, 408, 144

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

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

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

Greatest Common Divisior

We found the divisors of 851, 281, 408, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 281, 408, 144 is 1.

Therefore, GCD of numbers 851, 281, 408, 144 is 1

Given Input Data is 851, 281, 408, 144

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 281 is 281

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

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

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(851, 281) = 239131

GCD(851, 281) = ( 851 x 281 ) / 239131

GCD(851, 281) = 239131 / 239131

GCD(851, 281) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 851, 281, 408, 144 is 1

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• GCD of 969, 732, 797, 689
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• GCD of 624, 420, 158, 837

1. What is the GCD of 851, 281, 408, 144?

GCD of 851, 281, 408, 144 is 1

2. Where do I get the detailed procedure to find GCD of 851, 281, 408, 144?

You can find a detailed procedure to find GCD of 851, 281, 408, 144 on our page.

3. How to find GCD of 851, 281, 408, 144 on a calculator?

You can find the GCD of 851, 281, 408, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.