GCD of 686, 536, 363, 171 Calculator

Given Input numbers are 686, 536, 363, 171

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

Divisors of 686 :

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

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (686, 536, 363, 171) = 1.

Given numbers are 686, 536, 363, 171

The list of prime factors of all numbers are

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

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 363 are 3 x 11 x 11

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 686, 536, 363, 171

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

Apply this formula for all numbers.

Step1:

LCM(686, 536) = 183848

GCD(686, 536) = ( 686 x 536 ) / 183848

= 686 / 536

= 686

Step2:

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

= 2 / 363

= 2

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 686, 536, 363, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 955, 174, 958
• GCD of 156, 408, 887, 852
• GCD of 419, 972, 885, 391
• GCD of 411, 311, 558, 968
• GCD of 489, 700, 214, 809

Given numbers are 686, 536, 363, 171
The greatest common divisor of numbers 686, 536, 363, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 536, 363, 171 is 1.

1. What is the GCD of 686, 536, 363, 171?

GCD of given numbers 686, 536, 363, 171 is 1

2. How to calculate the greatest common divisor of 686, 536, 363, 171?

We can find the highest common divisor of 686, 536, 363, 171 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 686, 536, 363, 171 i.e 1.

3. How can I use the GCD of 686, 536, 363, 171Calculator?

Out the numbers 686, 536, 363, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.