GCD of 824, 698, 85, 144 Calculator

Given Input numbers are 824, 698, 85, 144

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 824, 698, 85, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 698, 85, 144 is 1.

Therefore, GCD of numbers 824, 698, 85, 144 is 1

Given Input Data is 824, 698, 85, 144

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 698 is 2 x 349

Prime Factorization of 85 is 5 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(824, 698) = 287576

GCD(824, 698) = ( 824 x 698 ) / 287576

GCD(824, 698) = 575152 / 287576

GCD(824, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 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 824, 698, 85, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 898, 77, 799
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• GCD of 929, 592, 73, 842

1. What is the GCD of 824, 698, 85, 144?

GCD of 824, 698, 85, 144 is 1

2. Where do I get the detailed procedure to find GCD of 824, 698, 85, 144?

You can find a detailed procedure to find GCD of 824, 698, 85, 144 on our page.

3. How to find GCD of 824, 698, 85, 144 on a calculator?

You can find the GCD of 824, 698, 85, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.