GCD of 369, 109, 23, 985 Calculator

Given Input numbers are 369, 109, 23, 985

In the factoring method, we have to find the divisors of all numbers

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 23 :

The positive integer divisors of 23 that completely divides 23 are.

1, 23

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

GCD of numbers is the greatest common divisor

So, the GCD (369, 109, 23, 985) = 1.

Given numbers are 369, 109, 23, 985

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 109 are 109

Prime factors of 23 are 23

Prime factors of 985 are 5 x 197

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 369, 109, 23, 985

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(369, 109) = 40221

GCD(369, 109) = ( 369 x 109 ) / 40221

= 369 / 109

= 369

Step2:

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

= 1 / 23

= 1

Step3:

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

= 1 / 985

= 1

So, Greatest Common Divisor of 369, 109, 23, 985 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 687, 14, 700
• GCD of 320, 633, 89, 321
• GCD of 529, 422, 33, 112
• GCD of 951, 341, 54, 779
• GCD of 398, 779, 41, 535

Given numbers are 369, 109, 23, 985
The greatest common divisor of numbers 369, 109, 23, 985 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 109, 23, 985 is 1.

1. What is the GCD of 369, 109, 23, 985?

GCD of given numbers 369, 109, 23, 985 is 1

2. How to calculate the greatest common divisor of 369, 109, 23, 985?

We can find the highest common divisor of 369, 109, 23, 985 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 369, 109, 23, 985 i.e 1.

3. How can I use the GCD of 369, 109, 23, 985Calculator?

Out the numbers 369, 109, 23, 985 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.