GCD of 120, 964, 200, 532 Calculator

Given Input numbers are 120, 964, 200, 532

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 120, 964, 200, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 964, 200, 532 is 4.

Therefore, GCD of numbers 120, 964, 200, 532 is 4

Given Input Data is 120, 964, 200, 532

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 532 is 2 x 2 x 7 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(120, 964) = 28920

GCD(120, 964) = ( 120 x 964 ) / 28920

GCD(120, 964) = 115680 / 28920

GCD(120, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 200

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

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

GCD(4, 200) = 800 / 200

GCD(4, 200) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 532

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

LCM(4, 532) = 532

GCD(4, 532) = ( 4 x 532 ) / 532

GCD(4, 532) = 2128 / 532

GCD(4, 532) = 4

GCD of 120, 964, 200, 532 is 4

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1. What is the GCD of 120, 964, 200, 532?

GCD of 120, 964, 200, 532 is 4

2. Where do I get the detailed procedure to find GCD of 120, 964, 200, 532?

You can find a detailed procedure to find GCD of 120, 964, 200, 532 on our page.

3. How to find GCD of 120, 964, 200, 532 on a calculator?

You can find the GCD of 120, 964, 200, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.