GCD of 998, 174, 398, 213 Calculator

Given Input numbers are 998, 174, 398, 213

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 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (998, 174, 398, 213) = 1.

Given numbers are 998, 174, 398, 213

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 174 are 2 x 3 x 29

Prime factors of 398 are 2 x 199

Prime factors of 213 are 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 998, 174, 398, 213

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

Apply this formula for all numbers.

Step1:

LCM(998, 174) = 86826

GCD(998, 174) = ( 998 x 174 ) / 86826

= 998 / 174

= 998

Step2:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

Step3:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2

So, Greatest Common Divisor of 998, 174, 398, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 637, 177, 402
• GCD of 911, 735, 223, 332
• GCD of 753, 951, 176, 165
• GCD of 130, 303, 506, 802
• GCD of 826, 632, 693, 698

Given numbers are 998, 174, 398, 213
The greatest common divisor of numbers 998, 174, 398, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 174, 398, 213 is 1.

1. What is the GCD of 998, 174, 398, 213?

GCD of given numbers 998, 174, 398, 213 is 1

2. How to calculate the greatest common divisor of 998, 174, 398, 213?

We can find the highest common divisor of 998, 174, 398, 213 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, 174, 398, 213 i.e 1.

3. How can I use the GCD of 998, 174, 398, 213Calculator?

Out the numbers 998, 174, 398, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.