GCD of 123, 687, 174, 871 Calculator

Given Input numbers are 123, 687, 174, 871

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

GCD of numbers is the greatest common divisor

So, the GCD (123, 687, 174, 871) = 1.

Given numbers are 123, 687, 174, 871

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 687 are 3 x 229

Prime factors of 174 are 2 x 3 x 29

Prime factors of 871 are 13 x 67

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

Given numbers are 123, 687, 174, 871

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

Apply this formula for all numbers.

Step1:

LCM(123, 687) = 28167

GCD(123, 687) = ( 123 x 687 ) / 28167

= 123 / 687

= 123

Step2:

LCM(3, 174) = 174

GCD(3, 174) = ( 3 x 174 ) / 174

= 3 / 174

= 3

Step3:

LCM(3, 871) = 2613

GCD(3, 871) = ( 3 x 871 ) / 2613

= 3 / 871

= 3

So, Greatest Common Divisor of 123, 687, 174, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 839, 843, 154
• GCD of 221, 895, 982, 923
• GCD of 402, 871, 960, 424
• GCD of 468, 732, 606, 815
• GCD of 568, 617, 246, 515

Given numbers are 123, 687, 174, 871
The greatest common divisor of numbers 123, 687, 174, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 687, 174, 871 is 1.

1. What is the GCD of 123, 687, 174, 871?

GCD of given numbers 123, 687, 174, 871 is 1

2. How to calculate the greatest common divisor of 123, 687, 174, 871?

We can find the highest common divisor of 123, 687, 174, 871 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 123, 687, 174, 871 i.e 1.

3. How can I use the GCD of 123, 687, 174, 871Calculator?

Out the numbers 123, 687, 174, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.