GCD of 998, 472, 364, 102 Calculator

Given Input numbers are 998, 472, 364, 102

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (998, 472, 364, 102) = 2.

Given numbers are 998, 472, 364, 102

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 998, 472, 364, 102 is 2.

Given numbers are 998, 472, 364, 102

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

Apply this formula for all numbers.

Step1:

LCM(998, 472) = 235528

GCD(998, 472) = ( 998 x 472 ) / 235528

= 998 / 472

= 998

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

So, Greatest Common Divisor of 998, 472, 364, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 539, 124, 471
• GCD of 966, 112, 854, 333
• GCD of 678, 609, 644, 739
• GCD of 824, 377, 377, 336
• GCD of 111, 226, 582, 346

Given numbers are 998, 472, 364, 102
The greatest common divisor of numbers 998, 472, 364, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 472, 364, 102 is 2.

1. What is the GCD of 998, 472, 364, 102?

GCD of given numbers 998, 472, 364, 102 is 2

2. How to calculate the greatest common divisor of 998, 472, 364, 102?

We can find the highest common divisor of 998, 472, 364, 102 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 998, 472, 364, 102 i.e 2.

3. How can I use the GCD of 998, 472, 364, 102Calculator?

Out the numbers 998, 472, 364, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.