GCD of 290, 182, 92, 750 Calculator

Given Input numbers are 290, 182, 92, 750

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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 290, 182, 92, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 182, 92, 750 is 2.

Therefore, GCD of numbers 290, 182, 92, 750 is 2

Given Input Data is 290, 182, 92, 750

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 92 is 2 x 2 x 23

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

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(290, 182) = 26390

GCD(290, 182) = ( 290 x 182 ) / 26390

GCD(290, 182) = 52780 / 26390

GCD(290, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

GCD of 290, 182, 92, 750 is 2

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1. What is the GCD of 290, 182, 92, 750?

GCD of 290, 182, 92, 750 is 2

2. Where do I get the detailed procedure to find GCD of 290, 182, 92, 750?

You can find a detailed procedure to find GCD of 290, 182, 92, 750 on our page.

3. How to find GCD of 290, 182, 92, 750 on a calculator?

You can find the GCD of 290, 182, 92, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.