GCD of 909, 502, 402, 896 Calculator

Given Input numbers are 909, 502, 402, 896

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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

Greatest Common Divisior

We found the divisors of 909, 502, 402, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 502, 402, 896 is 1.

Therefore, GCD of numbers 909, 502, 402, 896 is 1

Given Input Data is 909, 502, 402, 896

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 502 is 2 x 251

Prime Factorization of 402 is 2 x 3 x 67

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

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(909, 502) = 456318

GCD(909, 502) = ( 909 x 502 ) / 456318

GCD(909, 502) = 456318 / 456318

GCD(909, 502) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 909, 502, 402, 896 is 1

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1. What is the GCD of 909, 502, 402, 896?

GCD of 909, 502, 402, 896 is 1

2. Where do I get the detailed procedure to find GCD of 909, 502, 402, 896?

You can find a detailed procedure to find GCD of 909, 502, 402, 896 on our page.

3. How to find GCD of 909, 502, 402, 896 on a calculator?

You can find the GCD of 909, 502, 402, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.