GCD of 873, 300, 738, 117 Calculator

Given Input numbers are 873, 300, 738, 117

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

Divisors of 873 :

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

1, 3, 9, 97, 291, 873

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 117 :

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

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (873, 300, 738, 117) = 3.

Given numbers are 873, 300, 738, 117

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 873, 300, 738, 117 is 3.

Given numbers are 873, 300, 738, 117

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

Apply this formula for all numbers.

Step1:

LCM(873, 300) = 87300

GCD(873, 300) = ( 873 x 300 ) / 87300

= 873 / 300

= 873

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

So, Greatest Common Divisor of 873, 300, 738, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 992, 720, 504
• GCD of 277, 906, 456, 965
• GCD of 120, 900, 378, 268
• GCD of 484, 531, 554, 968
• GCD of 482, 912, 277, 738

Given numbers are 873, 300, 738, 117
The greatest common divisor of numbers 873, 300, 738, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 300, 738, 117 is 3.

1. What is the GCD of 873, 300, 738, 117?

GCD of given numbers 873, 300, 738, 117 is 3

2. How to calculate the greatest common divisor of 873, 300, 738, 117?

We can find the highest common divisor of 873, 300, 738, 117 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 873, 300, 738, 117 i.e 3.

3. How can I use the GCD of 873, 300, 738, 117Calculator?

Out the numbers 873, 300, 738, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.