GCD of 345, 139, 516, 107 Calculator

Given Input numbers are 345, 139, 516, 107

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

Divisors of 345 :

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

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

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

GCD of numbers is the greatest common divisor

So, the GCD (345, 139, 516, 107) = 1.

Given numbers are 345, 139, 516, 107

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 139 are 139

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 107 are 107

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

Given numbers are 345, 139, 516, 107

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

Apply this formula for all numbers.

Step1:

LCM(345, 139) = 47955

GCD(345, 139) = ( 345 x 139 ) / 47955

= 345 / 139

= 345

Step2:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1

Step3:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1

So, Greatest Common Divisor of 345, 139, 516, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 914, 455, 855
• GCD of 235, 432, 549, 725
• GCD of 210, 248, 966, 640
• GCD of 180, 928, 949, 907
• GCD of 978, 655, 328, 964

Given numbers are 345, 139, 516, 107
The greatest common divisor of numbers 345, 139, 516, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 139, 516, 107 is 1.

1. What is the GCD of 345, 139, 516, 107?

GCD of given numbers 345, 139, 516, 107 is 1

2. How to calculate the greatest common divisor of 345, 139, 516, 107?

We can find the highest common divisor of 345, 139, 516, 107 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 345, 139, 516, 107 i.e 1.

3. How can I use the GCD of 345, 139, 516, 107Calculator?

Out the numbers 345, 139, 516, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.