GCD of 345, 759, 873, 618 Calculator

Given Input numbers are 345, 759, 873, 618

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 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (345, 759, 873, 618) = 3.

Given numbers are 345, 759, 873, 618

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 759 are 3 x 11 x 23

Prime factors of 873 are 3 x 3 x 97

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 345, 759, 873, 618 is 3.

Given numbers are 345, 759, 873, 618

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

Apply this formula for all numbers.

Step1:

LCM(345, 759) = 3795

GCD(345, 759) = ( 345 x 759 ) / 3795

= 345 / 759

= 345

Step2:

LCM(69, 873) = 20079

GCD(69, 873) = ( 69 x 873 ) / 20079

= 69 / 873

= 69

Step3:

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

= 3 / 618

= 3

So, Greatest Common Divisor of 345, 759, 873, 618 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 373, 818, 583
• GCD of 189, 305, 637, 879
• GCD of 672, 620, 591, 405
• GCD of 602, 819, 105, 870
• GCD of 261, 506, 685, 322

Given numbers are 345, 759, 873, 618
The greatest common divisor of numbers 345, 759, 873, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 759, 873, 618 is 3.

1. What is the GCD of 345, 759, 873, 618?

GCD of given numbers 345, 759, 873, 618 is 3

2. How to calculate the greatest common divisor of 345, 759, 873, 618?

We can find the highest common divisor of 345, 759, 873, 618 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, 759, 873, 618 i.e 3.

3. How can I use the GCD of 345, 759, 873, 618Calculator?

Out the numbers 345, 759, 873, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.