GCD of 690, 316, 989, 197 Calculator

Given Input numbers are 690, 316, 989, 197

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 316

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

1, 2, 4, 79, 158, 316

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 690, 316, 989, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 316, 989, 197 is 1.

Therefore, GCD of numbers 690, 316, 989, 197 is 1

Given Input Data is 690, 316, 989, 197

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 316 is 2 x 2 x 79

Prime Factorization of 989 is 23 x 43

Prime Factorization of 197 is 197

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(690, 316) = 109020

GCD(690, 316) = ( 690 x 316 ) / 109020

GCD(690, 316) = 218040 / 109020

GCD(690, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 197

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

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

GCD(1, 197) = 197 / 197

GCD(1, 197) = 1

GCD of 690, 316, 989, 197 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 686, 165, 118
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• GCD of 198, 699, 281, 796

1. What is the GCD of 690, 316, 989, 197?

GCD of 690, 316, 989, 197 is 1

2. Where do I get the detailed procedure to find GCD of 690, 316, 989, 197?

You can find a detailed procedure to find GCD of 690, 316, 989, 197 on our page.

3. How to find GCD of 690, 316, 989, 197 on a calculator?

You can find the GCD of 690, 316, 989, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.