GCD of 105, 695, 795, 858 Calculator

Given Input numbers are 105, 695, 795, 858

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 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

GCD of numbers is the greatest common divisor

So, the GCD (105, 695, 795, 858) = 1.

Given numbers are 105, 695, 795, 858

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 695 are 5 x 139

Prime factors of 795 are 3 x 5 x 53

Prime factors of 858 are 2 x 3 x 11 x 13

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

Given numbers are 105, 695, 795, 858

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

Apply this formula for all numbers.

Step1:

LCM(105, 695) = 14595

GCD(105, 695) = ( 105 x 695 ) / 14595

= 105 / 695

= 105

Step2:

LCM(5, 795) = 795

GCD(5, 795) = ( 5 x 795 ) / 795

= 5 / 795

= 5

Step3:

LCM(5, 858) = 4290

GCD(5, 858) = ( 5 x 858 ) / 4290

= 5 / 858

= 5

So, Greatest Common Divisor of 105, 695, 795, 858 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 568, 999, 755
• GCD of 629, 520, 192, 272
• GCD of 918, 788, 530, 353
• GCD of 567, 752, 736, 667
• GCD of 869, 317, 918, 280

Given numbers are 105, 695, 795, 858
The greatest common divisor of numbers 105, 695, 795, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 695, 795, 858 is 1.

1. What is the GCD of 105, 695, 795, 858?

GCD of given numbers 105, 695, 795, 858 is 1

2. How to calculate the greatest common divisor of 105, 695, 795, 858?

We can find the highest common divisor of 105, 695, 795, 858 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, 695, 795, 858 i.e 1.

3. How can I use the GCD of 105, 695, 795, 858Calculator?

Out the numbers 105, 695, 795, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.