GCD of 690, 935, 80 Calculator

Given Input numbers are 690, 935, 80

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Greatest Common Divisior

We found the divisors of 690, 935, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 935, 80 is 5.

Therefore, GCD of numbers 690, 935, 80 is 5

Given Input Data is 690, 935, 80

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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(690, 935) = 129030

GCD(690, 935) = ( 690 x 935 ) / 129030

GCD(690, 935) = 645150 / 129030

GCD(690, 935) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 80

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

LCM(5, 80) = 80

GCD(5, 80) = ( 5 x 80 ) / 80

GCD(5, 80) = 400 / 80

GCD(5, 80) = 5

GCD of 690, 935, 80 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 406, 30
• GCD of 346, 103, 19
• GCD of 999, 138, 67
• GCD of 938, 205, 71
• GCD of 329, 392, 58

1. What is the GCD of 690, 935, 80?

GCD of 690, 935, 80 is 5

2. Where do I get the detailed procedure to find GCD of 690, 935, 80?

You can find a detailed procedure to find GCD of 690, 935, 80 on our page.

3. How to find GCD of 690, 935, 80 on a calculator?

You can find the GCD of 690, 935, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.