GCD of 117, 852, 237, 123 Calculator

Given Input numbers are 117, 852, 237, 123

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (117, 852, 237, 123) = 3.

Given numbers are 117, 852, 237, 123

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 237 are 3 x 79

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 117, 852, 237, 123 is 3.

Given numbers are 117, 852, 237, 123

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

Apply this formula for all numbers.

Step1:

LCM(117, 852) = 33228

GCD(117, 852) = ( 117 x 852 ) / 33228

= 117 / 852

= 117

Step2:

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

= 3 / 237

= 3

Step3:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

So, Greatest Common Divisor of 117, 852, 237, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 741, 794, 628
• GCD of 958, 739, 650, 932
• GCD of 432, 373, 972, 511
• GCD of 939, 368, 582, 779
• GCD of 585, 561, 287, 924

Given numbers are 117, 852, 237, 123
The greatest common divisor of numbers 117, 852, 237, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 852, 237, 123 is 3.

1. What is the GCD of 117, 852, 237, 123?

GCD of given numbers 117, 852, 237, 123 is 3

2. How to calculate the greatest common divisor of 117, 852, 237, 123?

We can find the highest common divisor of 117, 852, 237, 123 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, 852, 237, 123 i.e 3.

3. How can I use the GCD of 117, 852, 237, 123Calculator?

Out the numbers 117, 852, 237, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.