GCD of 231, 172, 303, 998 Calculator

Given Input numbers are 231, 172, 303, 998

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (231, 172, 303, 998) = 1.

Given numbers are 231, 172, 303, 998

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 172 are 2 x 2 x 43

Prime factors of 303 are 3 x 101

Prime factors of 998 are 2 x 499

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

Given numbers are 231, 172, 303, 998

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

Apply this formula for all numbers.

Step1:

LCM(231, 172) = 39732

GCD(231, 172) = ( 231 x 172 ) / 39732

= 231 / 172

= 231

Step2:

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

= 1 / 303

= 1

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 231, 172, 303, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 186, 945, 849
• GCD of 101, 358, 347, 887
• GCD of 348, 313, 251, 358
• GCD of 610, 389, 101, 540
• GCD of 103, 188, 383, 680

Given numbers are 231, 172, 303, 998
The greatest common divisor of numbers 231, 172, 303, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 172, 303, 998 is 1.

1. What is the GCD of 231, 172, 303, 998?

GCD of given numbers 231, 172, 303, 998 is 1

2. How to calculate the greatest common divisor of 231, 172, 303, 998?

We can find the highest common divisor of 231, 172, 303, 998 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 231, 172, 303, 998 i.e 1.

3. How can I use the GCD of 231, 172, 303, 998Calculator?

Out the numbers 231, 172, 303, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.