GCD of 918, 924, 732, 831 Calculator

Given Input numbers are 918, 924, 732, 831

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

GCD of numbers is the greatest common divisor

So, the GCD (918, 924, 732, 831) = 3.

Given numbers are 918, 924, 732, 831

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 831 are 3 x 277

The highest common occurrence is 3¹

Therefore, GCD of 918, 924, 732, 831 is 3.

Given numbers are 918, 924, 732, 831

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

Apply this formula for all numbers.

Step1:

LCM(918, 924) = 141372

GCD(918, 924) = ( 918 x 924 ) / 141372

= 918 / 924

= 918

Step2:

LCM(6, 732) = 732

GCD(6, 732) = ( 6 x 732 ) / 732

= 6 / 732

= 6

Step3:

LCM(6, 831) = 1662

GCD(6, 831) = ( 6 x 831 ) / 1662

= 6 / 831

= 6

So, Greatest Common Divisor of 918, 924, 732, 831 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 254, 794, 218
• GCD of 575, 217, 166, 987
• GCD of 402, 769, 794, 772
• GCD of 725, 263, 863, 908
• GCD of 422, 338, 218, 942

Given numbers are 918, 924, 732, 831
The greatest common divisor of numbers 918, 924, 732, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 924, 732, 831 is 3.

1. What is the GCD of 918, 924, 732, 831?

GCD of given numbers 918, 924, 732, 831 is 3

2. How to calculate the greatest common divisor of 918, 924, 732, 831?

We can find the highest common divisor of 918, 924, 732, 831 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 918, 924, 732, 831 i.e 3.

3. How can I use the GCD of 918, 924, 732, 831Calculator?

Out the numbers 918, 924, 732, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.