GCD of 977, 109, 18, 202 Calculator

Given Input numbers are 977, 109, 18, 202

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

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 977, 109, 18, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 109, 18, 202 is 1.

Therefore, GCD of numbers 977, 109, 18, 202 is 1

Given Input Data is 977, 109, 18, 202

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

Prime Factorization of 977 is 977

Prime Factorization of 109 is 109

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 202 is 2 x 101

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(977, 109) = 106493

GCD(977, 109) = ( 977 x 109 ) / 106493

GCD(977, 109) = 106493 / 106493

GCD(977, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 977, 109, 18, 202 is 1

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• GCD of 479, 734, 10, 691
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1. What is the GCD of 977, 109, 18, 202?

GCD of 977, 109, 18, 202 is 1

2. Where do I get the detailed procedure to find GCD of 977, 109, 18, 202?

You can find a detailed procedure to find GCD of 977, 109, 18, 202 on our page.

3. How to find GCD of 977, 109, 18, 202 on a calculator?

You can find the GCD of 977, 109, 18, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.