GCD of 297, 114, 696, 685 Calculator

Given Input numbers are 297, 114, 696, 685

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 114 :

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

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 685 :

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

1, 5, 137, 685

GCD of numbers is the greatest common divisor

So, the GCD (297, 114, 696, 685) = 1.

Given numbers are 297, 114, 696, 685

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 114 are 2 x 3 x 19

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 685 are 5 x 137

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

Given numbers are 297, 114, 696, 685

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

Apply this formula for all numbers.

Step1:

LCM(297, 114) = 11286

GCD(297, 114) = ( 297 x 114 ) / 11286

= 297 / 114

= 297

Step2:

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

= 3 / 696

= 3

Step3:

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

= 3 / 685

= 3

So, Greatest Common Divisor of 297, 114, 696, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 548, 572, 889
• GCD of 685, 625, 435, 122
• GCD of 486, 372, 545, 571
• GCD of 514, 459, 227, 313
• GCD of 651, 979, 370, 842

Given numbers are 297, 114, 696, 685
The greatest common divisor of numbers 297, 114, 696, 685 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 114, 696, 685 is 1.

1. What is the GCD of 297, 114, 696, 685?

GCD of given numbers 297, 114, 696, 685 is 1

2. How to calculate the greatest common divisor of 297, 114, 696, 685?

We can find the highest common divisor of 297, 114, 696, 685 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 297, 114, 696, 685 i.e 1.

3. How can I use the GCD of 297, 114, 696, 685Calculator?

Out the numbers 297, 114, 696, 685 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.