GCD of 378, 183, 415, 120 Calculator

Given Input numbers are 378, 183, 415, 120

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

Divisors of 415 :

The positive integer divisors of 415 that completely divides 415 are.

1, 5, 83, 415

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (378, 183, 415, 120) = 1.

Given numbers are 378, 183, 415, 120

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 183 are 3 x 61

Prime factors of 415 are 5 x 83

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 378, 183, 415, 120

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

Apply this formula for all numbers.

Step1:

LCM(378, 183) = 23058

GCD(378, 183) = ( 378 x 183 ) / 23058

= 378 / 183

= 378

Step2:

LCM(3, 415) = 1245

GCD(3, 415) = ( 3 x 415 ) / 1245

= 3 / 415

= 3

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 378, 183, 415, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 581, 907, 417
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Given numbers are 378, 183, 415, 120
The greatest common divisor of numbers 378, 183, 415, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 183, 415, 120 is 1.

1. What is the GCD of 378, 183, 415, 120?

GCD of given numbers 378, 183, 415, 120 is 1

2. How to calculate the greatest common divisor of 378, 183, 415, 120?

We can find the highest common divisor of 378, 183, 415, 120 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 378, 183, 415, 120 i.e 1.

3. How can I use the GCD of 378, 183, 415, 120Calculator?

Out the numbers 378, 183, 415, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.