GCD of 804, 932, 742, 166 Calculator

Given Input numbers are 804, 932, 742, 166

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 742 :

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

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

Divisors of 166 :

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

1, 2, 83, 166

GCD of numbers is the greatest common divisor

So, the GCD (804, 932, 742, 166) = 2.

Given numbers are 804, 932, 742, 166

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 932 are 2 x 2 x 233

Prime factors of 742 are 2 x 7 x 53

Prime factors of 166 are 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 804, 932, 742, 166 is 2.

Given numbers are 804, 932, 742, 166

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

Apply this formula for all numbers.

Step1:

LCM(804, 932) = 187332

GCD(804, 932) = ( 804 x 932 ) / 187332

= 804 / 932

= 804

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

Step3:

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

= 2 / 166

= 2

So, Greatest Common Divisor of 804, 932, 742, 166 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 193, 974, 801
• GCD of 837, 481, 425, 304
• GCD of 602, 355, 188, 373
• GCD of 364, 528, 244, 193
• GCD of 139, 524, 686, 809

Given numbers are 804, 932, 742, 166
The greatest common divisor of numbers 804, 932, 742, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 932, 742, 166 is 2.

1. What is the GCD of 804, 932, 742, 166?

GCD of given numbers 804, 932, 742, 166 is 2

2. How to calculate the greatest common divisor of 804, 932, 742, 166?

We can find the highest common divisor of 804, 932, 742, 166 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 804, 932, 742, 166 i.e 2.

3. How can I use the GCD of 804, 932, 742, 166Calculator?

Out the numbers 804, 932, 742, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.