GCD of 998, 878, 180, 344 Calculator

Given Input numbers are 998, 878, 180, 344

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 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (998, 878, 180, 344) = 2.

Given numbers are 998, 878, 180, 344

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 878 are 2 x 439

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 998, 878, 180, 344 is 2.

Given numbers are 998, 878, 180, 344

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

Apply this formula for all numbers.

Step1:

LCM(998, 878) = 438122

GCD(998, 878) = ( 998 x 878 ) / 438122

= 998 / 878

= 998

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 998, 878, 180, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 963, 893, 880
• GCD of 344, 702, 722, 588
• GCD of 997, 525, 526, 398
• GCD of 497, 411, 911, 766
• GCD of 623, 324, 880, 760

Given numbers are 998, 878, 180, 344
The greatest common divisor of numbers 998, 878, 180, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 878, 180, 344 is 2.

1. What is the GCD of 998, 878, 180, 344?

GCD of given numbers 998, 878, 180, 344 is 2

2. How to calculate the greatest common divisor of 998, 878, 180, 344?

We can find the highest common divisor of 998, 878, 180, 344 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, 878, 180, 344 i.e 2.

3. How can I use the GCD of 998, 878, 180, 344Calculator?

Out the numbers 998, 878, 180, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.