GCD of 89, 102, 353, 157 Calculator

Given Input numbers are 89, 102, 353, 157

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 89, 102, 353, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 102, 353, 157 is 1.

Therefore, GCD of numbers 89, 102, 353, 157 is 1

Given Input Data is 89, 102, 353, 157

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

Prime Factorization of 89 is 89

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 353 is 353

Prime Factorization of 157 is 157

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(89, 102) = 9078

GCD(89, 102) = ( 89 x 102 ) / 9078

GCD(89, 102) = 9078 / 9078

GCD(89, 102) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 89, 102, 353, 157 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 121, 356, 597
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• GCD of 52, 576, 496, 127
• GCD of 44, 555, 866, 176

1. What is the GCD of 89, 102, 353, 157?

GCD of 89, 102, 353, 157 is 1

2. Where do I get the detailed procedure to find GCD of 89, 102, 353, 157?

You can find a detailed procedure to find GCD of 89, 102, 353, 157 on our page.

3. How to find GCD of 89, 102, 353, 157 on a calculator?

You can find the GCD of 89, 102, 353, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.