GCD of 858, 338, 308, 824 Calculator

Given Input numbers are 858, 338, 308, 824

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

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (858, 338, 308, 824) = 2.

Given numbers are 858, 338, 308, 824

The list of prime factors of all numbers are

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

Prime factors of 338 are 2 x 13 x 13

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 858, 338, 308, 824 is 2.

Given numbers are 858, 338, 308, 824

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

Apply this formula for all numbers.

Step1:

LCM(858, 338) = 11154

GCD(858, 338) = ( 858 x 338 ) / 11154

= 858 / 338

= 858

Step2:

LCM(26, 308) = 4004

GCD(26, 308) = ( 26 x 308 ) / 4004

= 26 / 308

= 26

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 858, 338, 308, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 929, 200, 372
• GCD of 248, 957, 590, 707
• GCD of 353, 641, 528, 486
• GCD of 438, 101, 355, 955
• GCD of 175, 742, 921, 439

Given numbers are 858, 338, 308, 824
The greatest common divisor of numbers 858, 338, 308, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 338, 308, 824 is 2.

1. What is the GCD of 858, 338, 308, 824?

GCD of given numbers 858, 338, 308, 824 is 2

2. How to calculate the greatest common divisor of 858, 338, 308, 824?

We can find the highest common divisor of 858, 338, 308, 824 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 858, 338, 308, 824 i.e 2.

3. How can I use the GCD of 858, 338, 308, 824Calculator?

Out the numbers 858, 338, 308, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.