GCD of 738, 166, 202, 398 Calculator

Given Input numbers are 738, 166, 202, 398

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (738, 166, 202, 398) = 2.

Given numbers are 738, 166, 202, 398

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 166 are 2 x 83

Prime factors of 202 are 2 x 101

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 738, 166, 202, 398 is 2.

Given numbers are 738, 166, 202, 398

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

Apply this formula for all numbers.

Step1:

LCM(738, 166) = 61254

GCD(738, 166) = ( 738 x 166 ) / 61254

= 738 / 166

= 738

Step2:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 738, 166, 202, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 578, 313, 966
• GCD of 435, 882, 905, 695
• GCD of 870, 198, 931, 293
• GCD of 721, 512, 640, 108
• GCD of 420, 724, 252, 235

Given numbers are 738, 166, 202, 398
The greatest common divisor of numbers 738, 166, 202, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 166, 202, 398 is 2.

1. What is the GCD of 738, 166, 202, 398?

GCD of given numbers 738, 166, 202, 398 is 2

2. How to calculate the greatest common divisor of 738, 166, 202, 398?

We can find the highest common divisor of 738, 166, 202, 398 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 738, 166, 202, 398 i.e 2.

3. How can I use the GCD of 738, 166, 202, 398Calculator?

Out the numbers 738, 166, 202, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.