GCD of 117, 375, 345, 873 Calculator

Given Input numbers are 117, 375, 345, 873

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 345 :

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

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

Divisors of 873 :

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

1, 3, 9, 97, 291, 873

GCD of numbers is the greatest common divisor

So, the GCD (117, 375, 345, 873) = 3.

Given numbers are 117, 375, 345, 873

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 345 are 3 x 5 x 23

Prime factors of 873 are 3 x 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 117, 375, 345, 873 is 3.

Given numbers are 117, 375, 345, 873

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

Apply this formula for all numbers.

Step1:

LCM(117, 375) = 14625

GCD(117, 375) = ( 117 x 375 ) / 14625

= 117 / 375

= 117

Step2:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

Step3:

LCM(3, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

= 3 / 873

= 3

So, Greatest Common Divisor of 117, 375, 345, 873 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 537, 718, 722
• GCD of 501, 567, 668, 751
• GCD of 215, 237, 905, 571
• GCD of 135, 536, 349, 107
• GCD of 177, 826, 362, 344

Given numbers are 117, 375, 345, 873
The greatest common divisor of numbers 117, 375, 345, 873 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 375, 345, 873 is 3.

1. What is the GCD of 117, 375, 345, 873?

GCD of given numbers 117, 375, 345, 873 is 3

2. How to calculate the greatest common divisor of 117, 375, 345, 873?

We can find the highest common divisor of 117, 375, 345, 873 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 117, 375, 345, 873 i.e 3.

3. How can I use the GCD of 117, 375, 345, 873Calculator?

Out the numbers 117, 375, 345, 873 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.