GCD of 901, 231, 214 Calculator

Given Input numbers are 901, 231, 214

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

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 231 :

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

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

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 (901, 231, 214) = 1.

Given numbers are 901, 231, 214

The list of prime factors of all numbers are

Prime factors of 901 are 17 x 53

Prime factors of 231 are 3 x 7 x 11

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 901, 231, 214

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

Apply this formula for all numbers.

Step1:

LCM(901, 231) = 208131

GCD(901, 231) = ( 901 x 231 ) / 208131

= 901 / 231

= 901

Step2:

LCM(1, 214) = 214

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

= 1 / 214

= 1

So, Greatest Common Divisor of 901, 231, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 920, 978
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• GCD of 959, 864, 442
• GCD of 736, 792, 437
• GCD of 289, 742, 480

Given numbers are 901, 231, 214
The greatest common divisor of numbers 901, 231, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 901, 231, 214 is 1.

1. What is the GCD of 901, 231, 214?

GCD of given numbers 901, 231, 214 is 1

2. How to calculate the greatest common divisor of 901, 231, 214?

We can find the highest common divisor of 901, 231, 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 901, 231, 214 i.e 1.

3. How can I use the GCD of 901, 231, 214Calculator?

Out the numbers 901, 231, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.