GCD of 964, 880, 10, 372 Calculator

Given Input numbers are 964, 880, 10, 372

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 964, 880, 10, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 880, 10, 372 is 2.

Therefore, GCD of numbers 964, 880, 10, 372 is 2

Given Input Data is 964, 880, 10, 372

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 10 is 2 x 5

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(964, 880) = 212080

GCD(964, 880) = ( 964 x 880 ) / 212080

GCD(964, 880) = 848320 / 212080

GCD(964, 880) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 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 964, 880, 10, 372 is 2

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1. What is the GCD of 964, 880, 10, 372?

GCD of 964, 880, 10, 372 is 2

2. Where do I get the detailed procedure to find GCD of 964, 880, 10, 372?

You can find a detailed procedure to find GCD of 964, 880, 10, 372 on our page.

3. How to find GCD of 964, 880, 10, 372 on a calculator?

You can find the GCD of 964, 880, 10, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.