GCD of 105, 429, 855, 882 Calculator

Given Input numbers are 105, 429, 855, 882

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 429 :

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

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

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (105, 429, 855, 882) = 3.

Given numbers are 105, 429, 855, 882

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 429 are 3 x 11 x 13

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

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 105, 429, 855, 882 is 3.

Given numbers are 105, 429, 855, 882

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

Apply this formula for all numbers.

Step1:

LCM(105, 429) = 15015

GCD(105, 429) = ( 105 x 429 ) / 15015

= 105 / 429

= 105

Step2:

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

= 3 / 855

= 3

Step3:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3

So, Greatest Common Divisor of 105, 429, 855, 882 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 759, 693, 593
• GCD of 711, 604, 224, 674
• GCD of 321, 574, 891, 827
• GCD of 568, 886, 107, 912
• GCD of 465, 282, 238, 748

Given numbers are 105, 429, 855, 882
The greatest common divisor of numbers 105, 429, 855, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 429, 855, 882 is 3.

1. What is the GCD of 105, 429, 855, 882?

GCD of given numbers 105, 429, 855, 882 is 3

2. How to calculate the greatest common divisor of 105, 429, 855, 882?

We can find the highest common divisor of 105, 429, 855, 882 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, 429, 855, 882 i.e 3.

3. How can I use the GCD of 105, 429, 855, 882Calculator?

Out the numbers 105, 429, 855, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.