GCD of 858, 702, 784, 198 Calculator

Given Input numbers are 858, 702, 784, 198

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 (858, 702, 784, 198) = 2.

Given numbers are 858, 702, 784, 198

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 858, 702, 784, 198 is 2.

Given numbers are 858, 702, 784, 198

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

Apply this formula for all numbers.

Step1:

LCM(858, 702) = 7722

GCD(858, 702) = ( 858 x 702 ) / 7722

= 858 / 702

= 858

Step2:

LCM(78, 784) = 30576

GCD(78, 784) = ( 78 x 784 ) / 30576

= 78 / 784

= 78

Step3:

LCM(2, 198) = 198

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

= 2 / 198

= 2

So, Greatest Common Divisor of 858, 702, 784, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 555, 573, 900
• GCD of 518, 521, 287, 413
• GCD of 614, 629, 423, 582
• GCD of 560, 260, 557, 247
• GCD of 203, 317, 519, 694

Given numbers are 858, 702, 784, 198
The greatest common divisor of numbers 858, 702, 784, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 702, 784, 198 is 2.

1. What is the GCD of 858, 702, 784, 198?

GCD of given numbers 858, 702, 784, 198 is 2

2. How to calculate the greatest common divisor of 858, 702, 784, 198?

We can find the highest common divisor of 858, 702, 784, 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 858, 702, 784, 198 i.e 2.

3. How can I use the GCD of 858, 702, 784, 198Calculator?

Out the numbers 858, 702, 784, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.