GCD of 862, 802, 824, 198 Calculator

Given Input numbers are 862, 802, 824, 198

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

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 824 :

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

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (862, 802, 824, 198) = 2.

Given numbers are 862, 802, 824, 198

The list of prime factors of all numbers are

Prime factors of 862 are 2 x 431

Prime factors of 802 are 2 x 401

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

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 862, 802, 824, 198 is 2.

Given numbers are 862, 802, 824, 198

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

Apply this formula for all numbers.

Step1:

LCM(862, 802) = 345662

GCD(862, 802) = ( 862 x 802 ) / 345662

= 862 / 802

= 862

Step2:

LCM(2, 824) = 824

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

= 2 / 824

= 2

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 862, 802, 824, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 838, 808, 534
• GCD of 556, 606, 257, 681
• GCD of 689, 250, 816, 572
• GCD of 647, 387, 727, 979
• GCD of 928, 407, 507, 203

Given numbers are 862, 802, 824, 198
The greatest common divisor of numbers 862, 802, 824, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 802, 824, 198 is 2.

1. What is the GCD of 862, 802, 824, 198?

GCD of given numbers 862, 802, 824, 198 is 2

2. How to calculate the greatest common divisor of 862, 802, 824, 198?

We can find the highest common divisor of 862, 802, 824, 198 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 862, 802, 824, 198 i.e 2.

3. How can I use the GCD of 862, 802, 824, 198Calculator?

Out the numbers 862, 802, 824, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.