GCD of 238, 311, 691, 998 Calculator

Given Input numbers are 238, 311, 691, 998

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

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 (238, 311, 691, 998) = 1.

Given numbers are 238, 311, 691, 998

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 311 are 311

Prime factors of 691 are 691

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 238, 311, 691, 998

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

Apply this formula for all numbers.

Step1:

LCM(238, 311) = 74018

GCD(238, 311) = ( 238 x 311 ) / 74018

= 238 / 311

= 238

Step2:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1

Step3:

LCM(1, 998) = 998

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

= 1 / 998

= 1

So, Greatest Common Divisor of 238, 311, 691, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 670, 556, 177
• GCD of 516, 701, 325, 102
• GCD of 537, 794, 172, 688
• GCD of 473, 825, 401, 843
• GCD of 107, 940, 671, 284

Given numbers are 238, 311, 691, 998
The greatest common divisor of numbers 238, 311, 691, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 311, 691, 998 is 1.

1. What is the GCD of 238, 311, 691, 998?

GCD of given numbers 238, 311, 691, 998 is 1

2. How to calculate the greatest common divisor of 238, 311, 691, 998?

We can find the highest common divisor of 238, 311, 691, 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 238, 311, 691, 998 i.e 1.

3. How can I use the GCD of 238, 311, 691, 998Calculator?

Out the numbers 238, 311, 691, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.