GCD of 329, 238, 420, 104 Calculator

Given Input numbers are 329, 238, 420, 104

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

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (329, 238, 420, 104) = 1.

Given numbers are 329, 238, 420, 104

The list of prime factors of all numbers are

Prime factors of 329 are 7 x 47

Prime factors of 238 are 2 x 7 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 104 are 2 x 2 x 2 x 13

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

Given numbers are 329, 238, 420, 104

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

Apply this formula for all numbers.

Step1:

LCM(329, 238) = 11186

GCD(329, 238) = ( 329 x 238 ) / 11186

= 329 / 238

= 329

Step2:

LCM(7, 420) = 420

GCD(7, 420) = ( 7 x 420 ) / 420

= 7 / 420

= 7

Step3:

LCM(7, 104) = 728

GCD(7, 104) = ( 7 x 104 ) / 728

= 7 / 104

= 7

So, Greatest Common Divisor of 329, 238, 420, 104 is 1

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Given numbers are 329, 238, 420, 104
The greatest common divisor of numbers 329, 238, 420, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 238, 420, 104 is 1.

1. What is the GCD of 329, 238, 420, 104?

GCD of given numbers 329, 238, 420, 104 is 1

2. How to calculate the greatest common divisor of 329, 238, 420, 104?

We can find the highest common divisor of 329, 238, 420, 104 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 329, 238, 420, 104 i.e 1.

3. How can I use the GCD of 329, 238, 420, 104Calculator?

Out the numbers 329, 238, 420, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.