GCD of 750, 564, 698, 372 Calculator

Given Input numbers are 750, 564, 698, 372

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

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

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 750, 564, 698, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 564, 698, 372 is 2.

Therefore, GCD of numbers 750, 564, 698, 372 is 2

Given Input Data is 750, 564, 698, 372

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

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 698 is 2 x 349

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(750, 564) = 70500

GCD(750, 564) = ( 750 x 564 ) / 70500

GCD(750, 564) = 423000 / 70500

GCD(750, 564) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 698

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

LCM(6, 698) = 2094

GCD(6, 698) = ( 6 x 698 ) / 2094

GCD(6, 698) = 4188 / 2094

GCD(6, 698) = 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 750, 564, 698, 372 is 2

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1. What is the GCD of 750, 564, 698, 372?

GCD of 750, 564, 698, 372 is 2

2. Where do I get the detailed procedure to find GCD of 750, 564, 698, 372?

You can find a detailed procedure to find GCD of 750, 564, 698, 372 on our page.

3. How to find GCD of 750, 564, 698, 372 on a calculator?

You can find the GCD of 750, 564, 698, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.