GCD of 915, 429, 184, 105 Calculator

Given Input numbers are 915, 429, 184, 105

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

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (915, 429, 184, 105) = 1.

Given numbers are 915, 429, 184, 105

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

Prime factors of 429 are 3 x 11 x 13

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 915, 429, 184, 105

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

Apply this formula for all numbers.

Step1:

LCM(915, 429) = 130845

GCD(915, 429) = ( 915 x 429 ) / 130845

= 915 / 429

= 915

Step2:

LCM(3, 184) = 552

GCD(3, 184) = ( 3 x 184 ) / 552

= 3 / 184

= 3

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 915, 429, 184, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 669, 253, 434
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• GCD of 910, 250, 472, 415
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• GCD of 801, 643, 346, 495

Given numbers are 915, 429, 184, 105
The greatest common divisor of numbers 915, 429, 184, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 429, 184, 105 is 1.

1. What is the GCD of 915, 429, 184, 105?

GCD of given numbers 915, 429, 184, 105 is 1

2. How to calculate the greatest common divisor of 915, 429, 184, 105?

We can find the highest common divisor of 915, 429, 184, 105 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 915, 429, 184, 105 i.e 1.

3. How can I use the GCD of 915, 429, 184, 105Calculator?

Out the numbers 915, 429, 184, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.