GCD of 800, 686, 470, 197 Calculator

Given Input numbers are 800, 686, 470, 197

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

GCD of numbers is the greatest common divisor

So, the GCD (800, 686, 470, 197) = 1.

Given numbers are 800, 686, 470, 197

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 470 are 2 x 5 x 47

Prime factors of 197 are 197

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

Given numbers are 800, 686, 470, 197

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

Apply this formula for all numbers.

Step1:

LCM(800, 686) = 274400

GCD(800, 686) = ( 800 x 686 ) / 274400

= 800 / 686

= 800

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 197) = 394

GCD(2, 197) = ( 2 x 197 ) / 394

= 2 / 197

= 2

So, Greatest Common Divisor of 800, 686, 470, 197 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 277, 312, 912
• GCD of 405, 322, 341, 338
• GCD of 556, 206, 897, 703
• GCD of 706, 606, 414, 373
• GCD of 377, 490, 456, 307

Given numbers are 800, 686, 470, 197
The greatest common divisor of numbers 800, 686, 470, 197 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 686, 470, 197 is 1.

1. What is the GCD of 800, 686, 470, 197?

GCD of given numbers 800, 686, 470, 197 is 1

2. How to calculate the greatest common divisor of 800, 686, 470, 197?

We can find the highest common divisor of 800, 686, 470, 197 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 800, 686, 470, 197 i.e 1.

3. How can I use the GCD of 800, 686, 470, 197Calculator?

Out the numbers 800, 686, 470, 197 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.