GCD of 685, 718, 231, 314 Calculator

Given Input numbers are 685, 718, 231, 314

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 231 :

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (685, 718, 231, 314) = 1.

Given numbers are 685, 718, 231, 314

The list of prime factors of all numbers are

Prime factors of 685 are 5 x 137

Prime factors of 718 are 2 x 359

Prime factors of 231 are 3 x 7 x 11

Prime factors of 314 are 2 x 157

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

Given numbers are 685, 718, 231, 314

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

Apply this formula for all numbers.

Step1:

LCM(685, 718) = 491830

GCD(685, 718) = ( 685 x 718 ) / 491830

= 685 / 718

= 685

Step2:

LCM(1, 231) = 231

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

= 1 / 231

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 685, 718, 231, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 808, 695, 329
• GCD of 425, 124, 497, 978
• GCD of 463, 256, 931, 279
• GCD of 633, 748, 142, 300
• GCD of 526, 793, 284, 805

Given numbers are 685, 718, 231, 314
The greatest common divisor of numbers 685, 718, 231, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 718, 231, 314 is 1.

1. What is the GCD of 685, 718, 231, 314?

GCD of given numbers 685, 718, 231, 314 is 1

2. How to calculate the greatest common divisor of 685, 718, 231, 314?

We can find the highest common divisor of 685, 718, 231, 314 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 685, 718, 231, 314 i.e 1.

3. How can I use the GCD of 685, 718, 231, 314Calculator?

Out the numbers 685, 718, 231, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.