GCD of 856, 492, 798, 176 Calculator

Given Input numbers are 856, 492, 798, 176

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (856, 492, 798, 176) = 2.

Given numbers are 856, 492, 798, 176

The list of prime factors of all numbers are

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

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 856, 492, 798, 176 is 2.

Given numbers are 856, 492, 798, 176

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

Apply this formula for all numbers.

Step1:

LCM(856, 492) = 105288

GCD(856, 492) = ( 856 x 492 ) / 105288

= 856 / 492

= 856

Step2:

LCM(4, 798) = 1596

GCD(4, 798) = ( 4 x 798 ) / 1596

= 4 / 798

= 4

Step3:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

So, Greatest Common Divisor of 856, 492, 798, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 172, 840, 310
• GCD of 557, 794, 135, 234
• GCD of 956, 154, 481, 228
• GCD of 378, 931, 687, 467
• GCD of 169, 556, 639, 805

Given numbers are 856, 492, 798, 176
The greatest common divisor of numbers 856, 492, 798, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 492, 798, 176 is 2.

1. What is the GCD of 856, 492, 798, 176?

GCD of given numbers 856, 492, 798, 176 is 2

2. How to calculate the greatest common divisor of 856, 492, 798, 176?

We can find the highest common divisor of 856, 492, 798, 176 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, 492, 798, 176 i.e 2.

3. How can I use the GCD of 856, 492, 798, 176Calculator?

Out the numbers 856, 492, 798, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.