GCD of 744, 750, 760 Calculator

Given Input numbers are 744, 750, 760

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 744, 750, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 750, 760 is 2.

Therefore, GCD of numbers 744, 750, 760 is 2

Given Input Data is 744, 750, 760

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(744, 750) = 93000

GCD(744, 750) = ( 744 x 750 ) / 93000

GCD(744, 750) = 558000 / 93000

GCD(744, 750) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 760

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

LCM(6, 760) = 2280

GCD(6, 760) = ( 6 x 760 ) / 2280

GCD(6, 760) = 4560 / 2280

GCD(6, 760) = 2

GCD of 744, 750, 760 is 2

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• GCD of 148, 455, 236
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1. What is the GCD of 744, 750, 760?

GCD of 744, 750, 760 is 2

2. Where do I get the detailed procedure to find GCD of 744, 750, 760?

You can find a detailed procedure to find GCD of 744, 750, 760 on our page.

3. How to find GCD of 744, 750, 760 on a calculator?

You can find the GCD of 744, 750, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.