GCD of 754, 118, 610, 500 Calculator

Given Input numbers are 754, 118, 610, 500

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 754, 118, 610, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 118, 610, 500 is 2.

Therefore, GCD of numbers 754, 118, 610, 500 is 2

Given Input Data is 754, 118, 610, 500

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 118 is 2 x 59

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 500 is 2 x 2 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(754, 118) = 44486

GCD(754, 118) = ( 754 x 118 ) / 44486

GCD(754, 118) = 88972 / 44486

GCD(754, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 754, 118, 610, 500 is 2

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1. What is the GCD of 754, 118, 610, 500?

GCD of 754, 118, 610, 500 is 2

2. Where do I get the detailed procedure to find GCD of 754, 118, 610, 500?

You can find a detailed procedure to find GCD of 754, 118, 610, 500 on our page.

3. How to find GCD of 754, 118, 610, 500 on a calculator?

You can find the GCD of 754, 118, 610, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.