GCD of 117, 858, 216, 738 Calculator

Given Input numbers are 117, 858, 216, 738

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 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

GCD of numbers is the greatest common divisor

So, the GCD (117, 858, 216, 738) = 3.

Given numbers are 117, 858, 216, 738

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 117, 858, 216, 738 is 3.

Given numbers are 117, 858, 216, 738

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

Apply this formula for all numbers.

Step1:

LCM(117, 858) = 2574

GCD(117, 858) = ( 117 x 858 ) / 2574

= 117 / 858

= 117

Step2:

LCM(39, 216) = 2808

GCD(39, 216) = ( 39 x 216 ) / 2808

= 39 / 216

= 39

Step3:

LCM(3, 738) = 738

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

= 3 / 738

= 3

So, Greatest Common Divisor of 117, 858, 216, 738 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 630, 697, 704
• GCD of 716, 654, 549, 341
• GCD of 441, 677, 423, 880
• GCD of 304, 310, 504, 904
• GCD of 222, 283, 708, 661

Given numbers are 117, 858, 216, 738
The greatest common divisor of numbers 117, 858, 216, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 858, 216, 738 is 3.

1. What is the GCD of 117, 858, 216, 738?

GCD of given numbers 117, 858, 216, 738 is 3

2. How to calculate the greatest common divisor of 117, 858, 216, 738?

We can find the highest common divisor of 117, 858, 216, 738 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, 858, 216, 738 i.e 3.

3. How can I use the GCD of 117, 858, 216, 738Calculator?

Out the numbers 117, 858, 216, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.