GCD of 687, 171, 942, 208 Calculator

Given Input numbers are 687, 171, 942, 208

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (687, 171, 942, 208) = 1.

Given numbers are 687, 171, 942, 208

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 171 are 3 x 3 x 19

Prime factors of 942 are 2 x 3 x 157

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

Given numbers are 687, 171, 942, 208

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

Apply this formula for all numbers.

Step1:

LCM(687, 171) = 39159

GCD(687, 171) = ( 687 x 171 ) / 39159

= 687 / 171

= 687

Step2:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

Step3:

LCM(3, 208) = 624

GCD(3, 208) = ( 3 x 208 ) / 624

= 3 / 208

= 3

So, Greatest Common Divisor of 687, 171, 942, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 197, 222, 386
• GCD of 514, 374, 397, 913
• GCD of 489, 178, 303, 847
• GCD of 111, 661, 214, 444
• GCD of 787, 717, 556, 386

Given numbers are 687, 171, 942, 208
The greatest common divisor of numbers 687, 171, 942, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 171, 942, 208 is 1.

1. What is the GCD of 687, 171, 942, 208?

GCD of given numbers 687, 171, 942, 208 is 1

2. How to calculate the greatest common divisor of 687, 171, 942, 208?

We can find the highest common divisor of 687, 171, 942, 208 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 687, 171, 942, 208 i.e 1.

3. How can I use the GCD of 687, 171, 942, 208Calculator?

Out the numbers 687, 171, 942, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.