GCD of 918, 132, 162, 742 Calculator

Given Input numbers are 918, 132, 162, 742

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (918, 132, 162, 742) = 2.

Given numbers are 918, 132, 162, 742

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 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 918, 132, 162, 742 is 2.

Given numbers are 918, 132, 162, 742

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, 162) = 162

GCD(6, 162) = ( 6 x 162 ) / 162

= 6 / 162

= 6

Step3:

LCM(6, 742) = 2226

GCD(6, 742) = ( 6 x 742 ) / 2226

= 6 / 742

= 6

So, Greatest Common Divisor of 918, 132, 162, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 134, 318, 455
• GCD of 583, 774, 967, 231
• GCD of 893, 248, 269, 642
• GCD of 553, 641, 700, 383
• GCD of 121, 951, 308, 807

Given numbers are 918, 132, 162, 742
The greatest common divisor of numbers 918, 132, 162, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 132, 162, 742 is 2.

1. What is the GCD of 918, 132, 162, 742?

GCD of given numbers 918, 132, 162, 742 is 2

2. How to calculate the greatest common divisor of 918, 132, 162, 742?

We can find the highest common divisor of 918, 132, 162, 742 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, 162, 742 i.e 2.

3. How can I use the GCD of 918, 132, 162, 742Calculator?

Out the numbers 918, 132, 162, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.