GCD of 896, 149, 600, 628 Calculator

Given Input numbers are 896, 149, 600, 628

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 896, 149, 600, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 149, 600, 628 is 1.

Therefore, GCD of numbers 896, 149, 600, 628 is 1

Given Input Data is 896, 149, 600, 628

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 149 is 149

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 628 is 2 x 2 x 157

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, 149) = 133504

GCD(896, 149) = ( 896 x 149 ) / 133504

GCD(896, 149) = 133504 / 133504

GCD(896, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 896, 149, 600, 628 is 1

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1. What is the GCD of 896, 149, 600, 628?

GCD of 896, 149, 600, 628 is 1

2. Where do I get the detailed procedure to find GCD of 896, 149, 600, 628?

You can find a detailed procedure to find GCD of 896, 149, 600, 628 on our page.

3. How to find GCD of 896, 149, 600, 628 on a calculator?

You can find the GCD of 896, 149, 600, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.