GCD of 369, 117, 85, 277 Calculator

Given Input numbers are 369, 117, 85, 277

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 117

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

1, 3, 9, 13, 39, 117

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 369, 117, 85, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 117, 85, 277 is 1.

Therefore, GCD of numbers 369, 117, 85, 277 is 1

Given Input Data is 369, 117, 85, 277

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 85 is 5 x 17

Prime Factorization of 277 is 277

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(369, 117) = 4797

GCD(369, 117) = ( 369 x 117 ) / 4797

GCD(369, 117) = 43173 / 4797

GCD(369, 117) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 85

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

LCM(9, 85) = 765

GCD(9, 85) = ( 9 x 85 ) / 765

GCD(9, 85) = 765 / 765

GCD(9, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 369, 117, 85, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 403, 56, 963
• GCD of 313, 904, 73, 925
• GCD of 927, 195, 63, 764
• GCD of 544, 639, 85, 137
• GCD of 342, 827, 40, 556

1. What is the GCD of 369, 117, 85, 277?

GCD of 369, 117, 85, 277 is 1

2. Where do I get the detailed procedure to find GCD of 369, 117, 85, 277?

You can find a detailed procedure to find GCD of 369, 117, 85, 277 on our page.

3. How to find GCD of 369, 117, 85, 277 on a calculator?

You can find the GCD of 369, 117, 85, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.