GCD of 345, 687, 513, 786 Calculator

Given Input numbers are 345, 687, 513, 786

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 687 :

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

1, 3, 229, 687

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

GCD of numbers is the greatest common divisor

So, the GCD (345, 687, 513, 786) = 3.

Given numbers are 345, 687, 513, 786

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 687 are 3 x 229

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 786 are 2 x 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 345, 687, 513, 786 is 3.

Given numbers are 345, 687, 513, 786

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

Apply this formula for all numbers.

Step1:

LCM(345, 687) = 79005

GCD(345, 687) = ( 345 x 687 ) / 79005

= 345 / 687

= 345

Step2:

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

= 3 / 513

= 3

Step3:

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

= 3 / 786

= 3

So, Greatest Common Divisor of 345, 687, 513, 786 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 545, 621, 665
• GCD of 358, 994, 135, 712
• GCD of 317, 986, 499, 344
• GCD of 878, 667, 425, 979
• GCD of 107, 897, 882, 757

Given numbers are 345, 687, 513, 786
The greatest common divisor of numbers 345, 687, 513, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 687, 513, 786 is 3.

1. What is the GCD of 345, 687, 513, 786?

GCD of given numbers 345, 687, 513, 786 is 3

2. How to calculate the greatest common divisor of 345, 687, 513, 786?

We can find the highest common divisor of 345, 687, 513, 786 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, 687, 513, 786 i.e 3.

3. How can I use the GCD of 345, 687, 513, 786Calculator?

Out the numbers 345, 687, 513, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.