GCD of 338, 855, 735, 858 Calculator

Given Input numbers are 338, 855, 735, 858

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 (338, 855, 735, 858) = 1.

Given numbers are 338, 855, 735, 858

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 735 are 3 x 5 x 7 x 7

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 338, 855, 735, 858

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

Apply this formula for all numbers.

Step1:

LCM(338, 855) = 288990

GCD(338, 855) = ( 338 x 855 ) / 288990

= 338 / 855

= 338

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

= 1 / 858

= 1

So, Greatest Common Divisor of 338, 855, 735, 858 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 482, 503, 921
• GCD of 863, 273, 305, 624
• GCD of 438, 701, 405, 290
• GCD of 548, 949, 514, 224
• GCD of 455, 582, 872, 176

Given numbers are 338, 855, 735, 858
The greatest common divisor of numbers 338, 855, 735, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 855, 735, 858 is 1.

1. What is the GCD of 338, 855, 735, 858?

GCD of given numbers 338, 855, 735, 858 is 1

2. How to calculate the greatest common divisor of 338, 855, 735, 858?

We can find the highest common divisor of 338, 855, 735, 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 338, 855, 735, 858 i.e 1.

3. How can I use the GCD of 338, 855, 735, 858Calculator?

Out the numbers 338, 855, 735, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.