GCD of 690, 158, 80, 230 Calculator

Given Input numbers are 690, 158, 80, 230

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 690, 158, 80, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 158, 80, 230 is 2.

Therefore, GCD of numbers 690, 158, 80, 230 is 2

Given Input Data is 690, 158, 80, 230

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 158 is 2 x 79

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

Prime Factorization of 230 is 2 x 5 x 23

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(690, 158) = 54510

GCD(690, 158) = ( 690 x 158 ) / 54510

GCD(690, 158) = 109020 / 54510

GCD(690, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 230

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

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

GCD(2, 230) = 460 / 230

GCD(2, 230) = 2

GCD of 690, 158, 80, 230 is 2

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• GCD of 837, 619, 39, 394
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1. What is the GCD of 690, 158, 80, 230?

GCD of 690, 158, 80, 230 is 2

2. Where do I get the detailed procedure to find GCD of 690, 158, 80, 230?

You can find a detailed procedure to find GCD of 690, 158, 80, 230 on our page.

3. How to find GCD of 690, 158, 80, 230 on a calculator?

You can find the GCD of 690, 158, 80, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.