GCD of 231, 455, 700, 317 Calculator

Given Input numbers are 231, 455, 700, 317

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 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

GCD of numbers is the greatest common divisor

So, the GCD (231, 455, 700, 317) = 1.

Given numbers are 231, 455, 700, 317

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 455 are 5 x 7 x 13

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 317 are 317

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

Given numbers are 231, 455, 700, 317

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

Apply this formula for all numbers.

Step1:

LCM(231, 455) = 15015

GCD(231, 455) = ( 231 x 455 ) / 15015

= 231 / 455

= 231

Step2:

LCM(7, 700) = 700

GCD(7, 700) = ( 7 x 700 ) / 700

= 7 / 700

= 7

Step3:

LCM(7, 317) = 2219

GCD(7, 317) = ( 7 x 317 ) / 2219

= 7 / 317

= 7

So, Greatest Common Divisor of 231, 455, 700, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 791, 740, 645
• GCD of 704, 762, 143, 208
• GCD of 775, 414, 480, 523
• GCD of 313, 933, 835, 159
• GCD of 792, 931, 972, 104

Given numbers are 231, 455, 700, 317
The greatest common divisor of numbers 231, 455, 700, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 455, 700, 317 is 1.

1. What is the GCD of 231, 455, 700, 317?

GCD of given numbers 231, 455, 700, 317 is 1

2. How to calculate the greatest common divisor of 231, 455, 700, 317?

We can find the highest common divisor of 231, 455, 700, 317 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, 455, 700, 317 i.e 1.

3. How can I use the GCD of 231, 455, 700, 317Calculator?

Out the numbers 231, 455, 700, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.