GCD of 918, 132, 903, 714 Calculator

Given Input numbers are 918, 132, 903, 714

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (918, 132, 903, 714) = 3.

Given numbers are 918, 132, 903, 714

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 132 are 2 x 2 x 3 x 11

Prime factors of 903 are 3 x 7 x 43

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 3¹

Therefore, GCD of 918, 132, 903, 714 is 3.

Given numbers are 918, 132, 903, 714

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

Apply this formula for all numbers.

Step1:

LCM(918, 132) = 20196

GCD(918, 132) = ( 918 x 132 ) / 20196

= 918 / 132

= 918

Step2:

LCM(6, 903) = 1806

GCD(6, 903) = ( 6 x 903 ) / 1806

= 6 / 903

= 6

Step3:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

So, Greatest Common Divisor of 918, 132, 903, 714 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 690, 851, 723
• GCD of 884, 511, 686, 482
• GCD of 454, 814, 837, 157
• GCD of 441, 718, 957, 205
• GCD of 569, 609, 544, 394

Given numbers are 918, 132, 903, 714
The greatest common divisor of numbers 918, 132, 903, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 132, 903, 714 is 3.

1. What is the GCD of 918, 132, 903, 714?

GCD of given numbers 918, 132, 903, 714 is 3

2. How to calculate the greatest common divisor of 918, 132, 903, 714?

We can find the highest common divisor of 918, 132, 903, 714 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, 132, 903, 714 i.e 3.

3. How can I use the GCD of 918, 132, 903, 714Calculator?

Out the numbers 918, 132, 903, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.