GCD of 904, 654, 820, 554 Calculator

Given Input numbers are 904, 654, 820, 554

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 904, 654, 820, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 654, 820, 554 is 2.

Therefore, GCD of numbers 904, 654, 820, 554 is 2

Given Input Data is 904, 654, 820, 554

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 554 is 2 x 277

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(904, 654) = 295608

GCD(904, 654) = ( 904 x 654 ) / 295608

GCD(904, 654) = 591216 / 295608

GCD(904, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 554

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

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

GCD(2, 554) = 1108 / 554

GCD(2, 554) = 2

GCD of 904, 654, 820, 554 is 2

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• GCD of 274, 971, 714, 804
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1. What is the GCD of 904, 654, 820, 554?

GCD of 904, 654, 820, 554 is 2

2. Where do I get the detailed procedure to find GCD of 904, 654, 820, 554?

You can find a detailed procedure to find GCD of 904, 654, 820, 554 on our page.

3. How to find GCD of 904, 654, 820, 554 on a calculator?

You can find the GCD of 904, 654, 820, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.