GCD of 832, 852, 138, 105 Calculator

Given Input numbers are 832, 852, 138, 105

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 (832, 852, 138, 105) = 1.

Given numbers are 832, 852, 138, 105

The list of prime factors of all numbers are

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 138 are 2 x 3 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 832, 852, 138, 105

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

Apply this formula for all numbers.

Step1:

LCM(832, 852) = 177216

GCD(832, 852) = ( 832 x 852 ) / 177216

= 832 / 852

= 832

Step2:

LCM(4, 138) = 276

GCD(4, 138) = ( 4 x 138 ) / 276

= 4 / 138

= 4

Step3:

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

= 2 / 105

= 2

So, Greatest Common Divisor of 832, 852, 138, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 202, 444, 997
• GCD of 423, 348, 792, 322
• GCD of 645, 487, 107, 844
• GCD of 983, 199, 951, 821
• GCD of 981, 552, 138, 941

Given numbers are 832, 852, 138, 105
The greatest common divisor of numbers 832, 852, 138, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 852, 138, 105 is 1.

1. What is the GCD of 832, 852, 138, 105?

GCD of given numbers 832, 852, 138, 105 is 1

2. How to calculate the greatest common divisor of 832, 852, 138, 105?

We can find the highest common divisor of 832, 852, 138, 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 832, 852, 138, 105 i.e 1.

3. How can I use the GCD of 832, 852, 138, 105Calculator?

Out the numbers 832, 852, 138, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.