GCD of 231, 127, 697, 214 Calculator

Given Input numbers are 231, 127, 697, 214

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 127 :

The positive integer divisors of 127 that completely divides 127 are.

1, 127

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (231, 127, 697, 214) = 1.

Given numbers are 231, 127, 697, 214

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 127 are 127

Prime factors of 697 are 17 x 41

Prime factors of 214 are 2 x 107

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

Given numbers are 231, 127, 697, 214

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

Apply this formula for all numbers.

Step1:

LCM(231, 127) = 29337

GCD(231, 127) = ( 231 x 127 ) / 29337

= 231 / 127

= 231

Step2:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 231, 127, 697, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 260, 351, 921
• GCD of 418, 139, 532, 750
• GCD of 172, 672, 886, 920
• GCD of 879, 263, 810, 654
• GCD of 744, 688, 814, 216

Given numbers are 231, 127, 697, 214
The greatest common divisor of numbers 231, 127, 697, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 127, 697, 214 is 1.

1. What is the GCD of 231, 127, 697, 214?

GCD of given numbers 231, 127, 697, 214 is 1

2. How to calculate the greatest common divisor of 231, 127, 697, 214?

We can find the highest common divisor of 231, 127, 697, 214 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, 127, 697, 214 i.e 1.

3. How can I use the GCD of 231, 127, 697, 214Calculator?

Out the numbers 231, 127, 697, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.