GCD of 689, 238, 114, 231 Calculator

Given Input numbers are 689, 238, 114, 231

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 238 :

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

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 231 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (689, 238, 114, 231) = 1.

Given numbers are 689, 238, 114, 231

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 238 are 2 x 7 x 17

Prime factors of 114 are 2 x 3 x 19

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 689, 238, 114, 231

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

Apply this formula for all numbers.

Step1:

LCM(689, 238) = 163982

GCD(689, 238) = ( 689 x 238 ) / 163982

= 689 / 238

= 689

Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 689, 238, 114, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 525, 714, 183
• GCD of 583, 955, 730, 315
• GCD of 985, 837, 769, 165
• GCD of 965, 130, 800, 209
• GCD of 874, 746, 541, 695

Given numbers are 689, 238, 114, 231
The greatest common divisor of numbers 689, 238, 114, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 238, 114, 231 is 1.

1. What is the GCD of 689, 238, 114, 231?

GCD of given numbers 689, 238, 114, 231 is 1

2. How to calculate the greatest common divisor of 689, 238, 114, 231?

We can find the highest common divisor of 689, 238, 114, 231 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 689, 238, 114, 231 i.e 1.

3. How can I use the GCD of 689, 238, 114, 231Calculator?

Out the numbers 689, 238, 114, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.