GCD of 105, 116, 266, 852 Calculator

Given Input numbers are 105, 116, 266, 852

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

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

GCD of numbers is the greatest common divisor

So, the GCD (105, 116, 266, 852) = 1.

Given numbers are 105, 116, 266, 852

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 116 are 2 x 2 x 29

Prime factors of 266 are 2 x 7 x 19

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

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

Given numbers are 105, 116, 266, 852

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

Apply this formula for all numbers.

Step1:

LCM(105, 116) = 12180

GCD(105, 116) = ( 105 x 116 ) / 12180

= 105 / 116

= 105

Step2:

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

= 1 / 266

= 1

Step3:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

So, Greatest Common Divisor of 105, 116, 266, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 817, 493, 493
• GCD of 634, 973, 942, 730
• GCD of 126, 489, 815, 163
• GCD of 211, 859, 942, 797
• GCD of 500, 845, 216, 982

Given numbers are 105, 116, 266, 852
The greatest common divisor of numbers 105, 116, 266, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 116, 266, 852 is 1.

1. What is the GCD of 105, 116, 266, 852?

GCD of given numbers 105, 116, 266, 852 is 1

2. How to calculate the greatest common divisor of 105, 116, 266, 852?

We can find the highest common divisor of 105, 116, 266, 852 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, 116, 266, 852 i.e 1.

3. How can I use the GCD of 105, 116, 266, 852Calculator?

Out the numbers 105, 116, 266, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.