GCD of 732, 162, 742, 116 Calculator

Given Input numbers are 732, 162, 742, 116

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

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 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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (732, 162, 742, 116) = 2.

Given numbers are 732, 162, 742, 116

The list of prime factors of all numbers are

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

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 742 are 2 x 7 x 53

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 732, 162, 742, 116 is 2.

Given numbers are 732, 162, 742, 116

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

Apply this formula for all numbers.

Step1:

LCM(732, 162) = 19764

GCD(732, 162) = ( 732 x 162 ) / 19764

= 732 / 162

= 732

Step2:

LCM(6, 742) = 2226

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

= 6 / 742

= 6

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 732, 162, 742, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 265, 704, 862
• GCD of 594, 137, 463, 352
• GCD of 114, 450, 882, 337
• GCD of 982, 636, 677, 379
• GCD of 120, 190, 739, 985

Given numbers are 732, 162, 742, 116
The greatest common divisor of numbers 732, 162, 742, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 162, 742, 116 is 2.

1. What is the GCD of 732, 162, 742, 116?

GCD of given numbers 732, 162, 742, 116 is 2

2. How to calculate the greatest common divisor of 732, 162, 742, 116?

We can find the highest common divisor of 732, 162, 742, 116 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 732, 162, 742, 116 i.e 2.

3. How can I use the GCD of 732, 162, 742, 116Calculator?

Out the numbers 732, 162, 742, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.