GCD of 910, 580, 62, 744 Calculator

Given Input numbers are 910, 580, 62, 744

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

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

Greatest Common Divisior

We found the divisors of 910, 580, 62, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 580, 62, 744 is 2.

Therefore, GCD of numbers 910, 580, 62, 744 is 2

Given Input Data is 910, 580, 62, 744

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 62 is 2 x 31

Prime Factorization of 744 is 2 x 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(910, 580) = 52780

GCD(910, 580) = ( 910 x 580 ) / 52780

GCD(910, 580) = 527800 / 52780

GCD(910, 580) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 62

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

LCM(10, 62) = 310

GCD(10, 62) = ( 10 x 62 ) / 310

GCD(10, 62) = 620 / 310

GCD(10, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

GCD of 910, 580, 62, 744 is 2

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1. What is the GCD of 910, 580, 62, 744?

GCD of 910, 580, 62, 744 is 2

2. Where do I get the detailed procedure to find GCD of 910, 580, 62, 744?

You can find a detailed procedure to find GCD of 910, 580, 62, 744 on our page.

3. How to find GCD of 910, 580, 62, 744 on a calculator?

You can find the GCD of 910, 580, 62, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.