GCD of 969, 519, 36, 750 Calculator

Given Input numbers are 969, 519, 36, 750

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 969, 519, 36, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 519, 36, 750 is 3.

Therefore, GCD of numbers 969, 519, 36, 750 is 3

Given Input Data is 969, 519, 36, 750

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 519 is 3 x 173

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(969, 519) = 167637

GCD(969, 519) = ( 969 x 519 ) / 167637

GCD(969, 519) = 502911 / 167637

GCD(969, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 750

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

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

GCD(3, 750) = 2250 / 750

GCD(3, 750) = 3

GCD of 969, 519, 36, 750 is 3

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1. What is the GCD of 969, 519, 36, 750?

GCD of 969, 519, 36, 750 is 3

2. Where do I get the detailed procedure to find GCD of 969, 519, 36, 750?

You can find a detailed procedure to find GCD of 969, 519, 36, 750 on our page.

3. How to find GCD of 969, 519, 36, 750 on a calculator?

You can find the GCD of 969, 519, 36, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.