GCD of 198, 975, 977, 117 Calculator

Given Input numbers are 198, 975, 977, 117

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 977

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

1, 977

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 198, 975, 977, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 975, 977, 117 is 1.

Therefore, GCD of numbers 198, 975, 977, 117 is 1

Given Input Data is 198, 975, 977, 117

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 977 is 977

Prime Factorization of 117 is 3 x 3 x 13

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(198, 975) = 64350

GCD(198, 975) = ( 198 x 975 ) / 64350

GCD(198, 975) = 193050 / 64350

GCD(198, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 977

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

LCM(3, 977) = 2931

GCD(3, 977) = ( 3 x 977 ) / 2931

GCD(3, 977) = 2931 / 2931

GCD(3, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 198, 975, 977, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 128, 509, 359
• GCD of 620, 121, 219, 201
• GCD of 846, 414, 483, 600
• GCD of 209, 458, 101, 804
• GCD of 292, 465, 343, 624

1. What is the GCD of 198, 975, 977, 117?

GCD of 198, 975, 977, 117 is 1

2. Where do I get the detailed procedure to find GCD of 198, 975, 977, 117?

You can find a detailed procedure to find GCD of 198, 975, 977, 117 on our page.

3. How to find GCD of 198, 975, 977, 117 on a calculator?

You can find the GCD of 198, 975, 977, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.