GCD of 369, 106, 372, 353 Calculator

Given Input numbers are 369, 106, 372, 353

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 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

GCD of numbers is the greatest common divisor

So, the GCD (369, 106, 372, 353) = 1.

Given numbers are 369, 106, 372, 353

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 106 are 2 x 53

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 353 are 353

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

Given numbers are 369, 106, 372, 353

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

Apply this formula for all numbers.

Step1:

LCM(369, 106) = 39114

GCD(369, 106) = ( 369 x 106 ) / 39114

= 369 / 106

= 369

Step2:

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

= 1 / 372

= 1

Step3:

LCM(1, 353) = 353

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

= 1 / 353

= 1

So, Greatest Common Divisor of 369, 106, 372, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 903, 992, 944
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• GCD of 700, 117, 680, 267
• GCD of 931, 248, 934, 128
• GCD of 488, 839, 103, 193

Given numbers are 369, 106, 372, 353
The greatest common divisor of numbers 369, 106, 372, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 106, 372, 353 is 1.

1. What is the GCD of 369, 106, 372, 353?

GCD of given numbers 369, 106, 372, 353 is 1

2. How to calculate the greatest common divisor of 369, 106, 372, 353?

We can find the highest common divisor of 369, 106, 372, 353 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, 106, 372, 353 i.e 1.

3. How can I use the GCD of 369, 106, 372, 353Calculator?

Out the numbers 369, 106, 372, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.