GCD of 689, 897, 98, 161 Calculator

Given Input numbers are 689, 897, 98, 161

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 689, 897, 98, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 897, 98, 161 is 1.

Therefore, GCD of numbers 689, 897, 98, 161 is 1

Given Input Data is 689, 897, 98, 161

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 161 is 7 x 23

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(689, 897) = 47541

GCD(689, 897) = ( 689 x 897 ) / 47541

GCD(689, 897) = 618033 / 47541

GCD(689, 897) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 98

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

LCM(13, 98) = 1274

GCD(13, 98) = ( 13 x 98 ) / 1274

GCD(13, 98) = 1274 / 1274

GCD(13, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 689, 897, 98, 161 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 731, 45, 755
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• GCD of 165, 699, 63, 193
• GCD of 831, 948, 49, 438
• GCD of 200, 620, 21, 507

1. What is the GCD of 689, 897, 98, 161?

GCD of 689, 897, 98, 161 is 1

2. Where do I get the detailed procedure to find GCD of 689, 897, 98, 161?

You can find a detailed procedure to find GCD of 689, 897, 98, 161 on our page.

3. How to find GCD of 689, 897, 98, 161 on a calculator?

You can find the GCD of 689, 897, 98, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.