GCD of 334, 492, 687, 345 Calculator

Given Input numbers are 334, 492, 687, 345

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (334, 492, 687, 345) = 1.

Given numbers are 334, 492, 687, 345

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 687 are 3 x 229

Prime factors of 345 are 3 x 5 x 23

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

Given numbers are 334, 492, 687, 345

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

Apply this formula for all numbers.

Step1:

LCM(334, 492) = 82164

GCD(334, 492) = ( 334 x 492 ) / 82164

= 334 / 492

= 334

Step2:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

Step3:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

So, Greatest Common Divisor of 334, 492, 687, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 630, 948, 154
• GCD of 125, 333, 415, 650
• GCD of 903, 648, 401, 586
• GCD of 997, 771, 863, 103
• GCD of 896, 829, 459, 531

Given numbers are 334, 492, 687, 345
The greatest common divisor of numbers 334, 492, 687, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 492, 687, 345 is 1.

1. What is the GCD of 334, 492, 687, 345?

GCD of given numbers 334, 492, 687, 345 is 1

2. How to calculate the greatest common divisor of 334, 492, 687, 345?

We can find the highest common divisor of 334, 492, 687, 345 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 334, 492, 687, 345 i.e 1.

3. How can I use the GCD of 334, 492, 687, 345Calculator?

Out the numbers 334, 492, 687, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.