GCD of 838, 960, 39, 858 Calculator

Given Input numbers are 838, 960, 39, 858

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

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 (838, 960, 39, 858) = 1.

Given numbers are 838, 960, 39, 858

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 39 are 3 x 13

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 838, 960, 39, 858

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

Apply this formula for all numbers.

Step1:

LCM(838, 960) = 402240

GCD(838, 960) = ( 838 x 960 ) / 402240

= 838 / 960

= 838

Step2:

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

= 2 / 39

= 2

Step3:

LCM(1, 858) = 858

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

= 1 / 858

= 1

So, Greatest Common Divisor of 838, 960, 39, 858 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 588, 33, 109
• GCD of 599, 951, 86, 201
• GCD of 522, 607, 62, 243
• GCD of 949, 402, 59, 117
• GCD of 493, 226, 31, 735

Given numbers are 838, 960, 39, 858
The greatest common divisor of numbers 838, 960, 39, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 960, 39, 858 is 1.

1. What is the GCD of 838, 960, 39, 858?

GCD of given numbers 838, 960, 39, 858 is 1

2. How to calculate the greatest common divisor of 838, 960, 39, 858?

We can find the highest common divisor of 838, 960, 39, 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 838, 960, 39, 858 i.e 1.

3. How can I use the GCD of 838, 960, 39, 858Calculator?

Out the numbers 838, 960, 39, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.