GCD of 342, 159, 690, 316 Calculator

Given Input numbers are 342, 159, 690, 316

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 342, 159, 690, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 159, 690, 316 is 1.

Therefore, GCD of numbers 342, 159, 690, 316 is 1

Given Input Data is 342, 159, 690, 316

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 159 is 3 x 53

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

Prime Factorization of 316 is 2 x 2 x 79

The above numbers do not have any common prime factor. So GCD is 1

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(342, 159) = 18126

GCD(342, 159) = ( 342 x 159 ) / 18126

GCD(342, 159) = 54378 / 18126

GCD(342, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 690

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

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

GCD(3, 690) = 2070 / 690

GCD(3, 690) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 316

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

LCM(3, 316) = 948

GCD(3, 316) = ( 3 x 316 ) / 948

GCD(3, 316) = 948 / 948

GCD(3, 316) = 1

GCD of 342, 159, 690, 316 is 1

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• GCD of 738, 135, 523, 523
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1. What is the GCD of 342, 159, 690, 316?

GCD of 342, 159, 690, 316 is 1

2. Where do I get the detailed procedure to find GCD of 342, 159, 690, 316?

You can find a detailed procedure to find GCD of 342, 159, 690, 316 on our page.

3. How to find GCD of 342, 159, 690, 316 on a calculator?

You can find the GCD of 342, 159, 690, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.