GCD of 602, 872, 48, 900 Calculator

Given Input numbers are 602, 872, 48, 900

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

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 602, 872, 48, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 872, 48, 900 is 2.

Therefore, GCD of numbers 602, 872, 48, 900 is 2

Given Input Data is 602, 872, 48, 900

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(602, 872) = 262472

GCD(602, 872) = ( 602 x 872 ) / 262472

GCD(602, 872) = 524944 / 262472

GCD(602, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

GCD of 602, 872, 48, 900 is 2

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• GCD of 922, 385, 33, 706
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• GCD of 423, 556, 72, 486
• GCD of 436, 901, 77, 484
• GCD of 795, 480, 85, 932

1. What is the GCD of 602, 872, 48, 900?

GCD of 602, 872, 48, 900 is 2

2. Where do I get the detailed procedure to find GCD of 602, 872, 48, 900?

You can find a detailed procedure to find GCD of 602, 872, 48, 900 on our page.

3. How to find GCD of 602, 872, 48, 900 on a calculator?

You can find the GCD of 602, 872, 48, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.