GCD of 198, 854, 802, 982 Calculator

Given Input numbers are 198, 854, 802, 982

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

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 802 :

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

1, 2, 401, 802

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (198, 854, 802, 982) = 2.

Given numbers are 198, 854, 802, 982

The list of prime factors of all numbers are

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

Prime factors of 854 are 2 x 7 x 61

Prime factors of 802 are 2 x 401

Prime factors of 982 are 2 x 491

The highest common occurrence is 2¹

Therefore, GCD of 198, 854, 802, 982 is 2.

Given numbers are 198, 854, 802, 982

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

Apply this formula for all numbers.

Step1:

LCM(198, 854) = 84546

GCD(198, 854) = ( 198 x 854 ) / 84546

= 198 / 854

= 198

Step2:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

Step3:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

So, Greatest Common Divisor of 198, 854, 802, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 929, 991, 150
• GCD of 344, 941, 721, 862
• GCD of 584, 930, 364, 267
• GCD of 912, 542, 581, 988
• GCD of 343, 968, 492, 754

Given numbers are 198, 854, 802, 982
The greatest common divisor of numbers 198, 854, 802, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 854, 802, 982 is 2.

1. What is the GCD of 198, 854, 802, 982?

GCD of given numbers 198, 854, 802, 982 is 2

2. How to calculate the greatest common divisor of 198, 854, 802, 982?

We can find the highest common divisor of 198, 854, 802, 982 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 198, 854, 802, 982 i.e 2.

3. How can I use the GCD of 198, 854, 802, 982Calculator?

Out the numbers 198, 854, 802, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.