GCD of 896, 739, 838, 360 Calculator

Given Input numbers are 896, 739, 838, 360

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 896, 739, 838, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 739, 838, 360 is 1.

Therefore, GCD of numbers 896, 739, 838, 360 is 1

Given Input Data is 896, 739, 838, 360

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 739 is 739

Prime Factorization of 838 is 2 x 419

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(896, 739) = 662144

GCD(896, 739) = ( 896 x 739 ) / 662144

GCD(896, 739) = 662144 / 662144

GCD(896, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 896, 739, 838, 360 is 1

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1. What is the GCD of 896, 739, 838, 360?

GCD of 896, 739, 838, 360 is 1

2. Where do I get the detailed procedure to find GCD of 896, 739, 838, 360?

You can find a detailed procedure to find GCD of 896, 739, 838, 360 on our page.

3. How to find GCD of 896, 739, 838, 360 on a calculator?

You can find the GCD of 896, 739, 838, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.