GCD of 862, 150, 260, 372 Calculator

Given Input numbers are 862, 150, 260, 372

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

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 862, 150, 260, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 150, 260, 372 is 2.

Therefore, GCD of numbers 862, 150, 260, 372 is 2

Given Input Data is 862, 150, 260, 372

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(862, 150) = 64650

GCD(862, 150) = ( 862 x 150 ) / 64650

GCD(862, 150) = 129300 / 64650

GCD(862, 150) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 372

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

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

GCD(2, 372) = 744 / 372

GCD(2, 372) = 2

GCD of 862, 150, 260, 372 is 2

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1. What is the GCD of 862, 150, 260, 372?

GCD of 862, 150, 260, 372 is 2

2. Where do I get the detailed procedure to find GCD of 862, 150, 260, 372?

You can find a detailed procedure to find GCD of 862, 150, 260, 372 on our page.

3. How to find GCD of 862, 150, 260, 372 on a calculator?

You can find the GCD of 862, 150, 260, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.