GCD of 100, 610, 685 Calculator

Given Input numbers are 100, 610, 685

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 100, 610, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 610, 685 is 5.

Therefore, GCD of numbers 100, 610, 685 is 5

Given Input Data is 100, 610, 685

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 685 is 5 x 137

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(100, 610) = 6100

GCD(100, 610) = ( 100 x 610 ) / 6100

GCD(100, 610) = 61000 / 6100

GCD(100, 610) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 685

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

LCM(10, 685) = 1370

GCD(10, 685) = ( 10 x 685 ) / 1370

GCD(10, 685) = 6850 / 1370

GCD(10, 685) = 5

GCD of 100, 610, 685 is 5

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1. What is the GCD of 100, 610, 685?

GCD of 100, 610, 685 is 5

2. Where do I get the detailed procedure to find GCD of 100, 610, 685?

You can find a detailed procedure to find GCD of 100, 610, 685 on our page.

3. How to find GCD of 100, 610, 685 on a calculator?

You can find the GCD of 100, 610, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.