GCD of 896, 921, 75, 153 Calculator

Given Input numbers are 896, 921, 75, 153

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 896, 921, 75, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 921, 75, 153 is 1.

Therefore, GCD of numbers 896, 921, 75, 153 is 1

Given Input Data is 896, 921, 75, 153

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 921 is 3 x 307

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 153 is 3 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(896, 921) = 825216

GCD(896, 921) = ( 896 x 921 ) / 825216

GCD(896, 921) = 825216 / 825216

GCD(896, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 896, 921, 75, 153 is 1

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1. What is the GCD of 896, 921, 75, 153?

GCD of 896, 921, 75, 153 is 1

2. Where do I get the detailed procedure to find GCD of 896, 921, 75, 153?

You can find a detailed procedure to find GCD of 896, 921, 75, 153 on our page.

3. How to find GCD of 896, 921, 75, 153 on a calculator?

You can find the GCD of 896, 921, 75, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.