GCD of 162, 206, 746 Calculator

Given Input numbers are 162, 206, 746

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

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 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (162, 206, 746) = 2.

Given numbers are 162, 206, 746

The list of prime factors of all numbers are

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

Prime factors of 206 are 2 x 103

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 162, 206, 746 is 2.

Given numbers are 162, 206, 746

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

Apply this formula for all numbers.

Step1:

LCM(162, 206) = 16686

GCD(162, 206) = ( 162 x 206 ) / 16686

= 162 / 206

= 162

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 162, 206, 746 is 2

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Given numbers are 162, 206, 746
The greatest common divisor of numbers 162, 206, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 206, 746 is 2.

1. What is the GCD of 162, 206, 746?

GCD of given numbers 162, 206, 746 is 2

2. How to calculate the greatest common divisor of 162, 206, 746?

We can find the highest common divisor of 162, 206, 746 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 162, 206, 746 i.e 2.

3. How can I use the GCD of 162, 206, 746Calculator?

Out the numbers 162, 206, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.