GCD of 369, 338, 345, 458 Calculator

Given Input numbers are 369, 338, 345, 458

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (369, 338, 345, 458) = 1.

Given numbers are 369, 338, 345, 458

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 338 are 2 x 13 x 13

Prime factors of 345 are 3 x 5 x 23

Prime factors of 458 are 2 x 229

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

Given numbers are 369, 338, 345, 458

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

Apply this formula for all numbers.

Step1:

LCM(369, 338) = 124722

GCD(369, 338) = ( 369 x 338 ) / 124722

= 369 / 338

= 369

Step2:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

Step3:

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

= 1 / 458

= 1

So, Greatest Common Divisor of 369, 338, 345, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 660, 810, 568
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• GCD of 152, 874, 794, 308
• GCD of 253, 508, 837, 643

Given numbers are 369, 338, 345, 458
The greatest common divisor of numbers 369, 338, 345, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 338, 345, 458 is 1.

1. What is the GCD of 369, 338, 345, 458?

GCD of given numbers 369, 338, 345, 458 is 1

2. How to calculate the greatest common divisor of 369, 338, 345, 458?

We can find the highest common divisor of 369, 338, 345, 458 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, 338, 345, 458 i.e 1.

3. How can I use the GCD of 369, 338, 345, 458Calculator?

Out the numbers 369, 338, 345, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.