GCD of 714, 123, 508, 345 Calculator

Given Input numbers are 714, 123, 508, 345

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

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 (714, 123, 508, 345) = 1.

Given numbers are 714, 123, 508, 345

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 123 are 3 x 41

Prime factors of 508 are 2 x 2 x 127

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 714, 123, 508, 345

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

Apply this formula for all numbers.

Step1:

LCM(714, 123) = 29274

GCD(714, 123) = ( 714 x 123 ) / 29274

= 714 / 123

= 714

Step2:

LCM(3, 508) = 1524

GCD(3, 508) = ( 3 x 508 ) / 1524

= 3 / 508

= 3

Step3:

LCM(1, 345) = 345

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

= 1 / 345

= 1

So, Greatest Common Divisor of 714, 123, 508, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 155, 629, 667
• GCD of 464, 780, 516, 879
• GCD of 686, 363, 350, 822
• GCD of 280, 440, 113, 986
• GCD of 833, 890, 985, 774

Given numbers are 714, 123, 508, 345
The greatest common divisor of numbers 714, 123, 508, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 123, 508, 345 is 1.

1. What is the GCD of 714, 123, 508, 345?

GCD of given numbers 714, 123, 508, 345 is 1

2. How to calculate the greatest common divisor of 714, 123, 508, 345?

We can find the highest common divisor of 714, 123, 508, 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 714, 123, 508, 345 i.e 1.

3. How can I use the GCD of 714, 123, 508, 345Calculator?

Out the numbers 714, 123, 508, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.