GCD of 856, 600, 34, 794 Calculator

Given Input numbers are 856, 600, 34, 794

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

GCD of numbers is the greatest common divisor

So, the GCD (856, 600, 34, 794) = 2.

Given numbers are 856, 600, 34, 794

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 34 are 2 x 17

Prime factors of 794 are 2 x 397

The highest common occurrence is 2¹

Therefore, GCD of 856, 600, 34, 794 is 2.

Given numbers are 856, 600, 34, 794

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

Apply this formula for all numbers.

Step1:

LCM(856, 600) = 64200

GCD(856, 600) = ( 856 x 600 ) / 64200

= 856 / 600

= 856

Step2:

LCM(8, 34) = 136

GCD(8, 34) = ( 8 x 34 ) / 136

= 8 / 34

= 8

Step3:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2

So, Greatest Common Divisor of 856, 600, 34, 794 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 836, 74, 602
• GCD of 121, 391, 61, 216
• GCD of 676, 915, 35, 517
• GCD of 657, 262, 79, 321
• GCD of 764, 168, 88, 952

Given numbers are 856, 600, 34, 794
The greatest common divisor of numbers 856, 600, 34, 794 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 600, 34, 794 is 2.

1. What is the GCD of 856, 600, 34, 794?

GCD of given numbers 856, 600, 34, 794 is 2

2. How to calculate the greatest common divisor of 856, 600, 34, 794?

We can find the highest common divisor of 856, 600, 34, 794 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 856, 600, 34, 794 i.e 2.

3. How can I use the GCD of 856, 600, 34, 794Calculator?

Out the numbers 856, 600, 34, 794 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.