GCD of 105, 855, 555, 402 Calculator

Given Input numbers are 105, 855, 555, 402

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

Divisors of 105 :

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

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (105, 855, 555, 402) = 3.

Given numbers are 105, 855, 555, 402

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 555 are 3 x 5 x 37

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 105, 855, 555, 402 is 3.

Given numbers are 105, 855, 555, 402

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

Apply this formula for all numbers.

Step1:

LCM(105, 855) = 5985

GCD(105, 855) = ( 105 x 855 ) / 5985

= 105 / 855

= 105

Step2:

LCM(15, 555) = 555

GCD(15, 555) = ( 15 x 555 ) / 555

= 15 / 555

= 15

Step3:

LCM(15, 402) = 2010

GCD(15, 402) = ( 15 x 402 ) / 2010

= 15 / 402

= 15

So, Greatest Common Divisor of 105, 855, 555, 402 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 937, 588, 844
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Given numbers are 105, 855, 555, 402
The greatest common divisor of numbers 105, 855, 555, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 855, 555, 402 is 3.

1. What is the GCD of 105, 855, 555, 402?

GCD of given numbers 105, 855, 555, 402 is 3

2. How to calculate the greatest common divisor of 105, 855, 555, 402?

We can find the highest common divisor of 105, 855, 555, 402 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 105, 855, 555, 402 i.e 3.

3. How can I use the GCD of 105, 855, 555, 402Calculator?

Out the numbers 105, 855, 555, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.