GCD of 380, 724, 76, 166 Calculator

Given Input numbers are 380, 724, 76, 166

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

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 (380, 724, 76, 166) = 2.

Given numbers are 380, 724, 76, 166

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 724 are 2 x 2 x 181

Prime factors of 76 are 2 x 2 x 19

Prime factors of 166 are 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 380, 724, 76, 166 is 2.

Given numbers are 380, 724, 76, 166

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

Apply this formula for all numbers.

Step1:

LCM(380, 724) = 68780

GCD(380, 724) = ( 380 x 724 ) / 68780

= 380 / 724

= 380

Step2:

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

= 4 / 76

= 4

Step3:

LCM(4, 166) = 332

GCD(4, 166) = ( 4 x 166 ) / 332

= 4 / 166

= 4

So, Greatest Common Divisor of 380, 724, 76, 166 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 320, 71, 838
• GCD of 399, 127, 74, 648
• GCD of 658, 321, 16, 722
• GCD of 295, 111, 44, 273
• GCD of 313, 614, 76, 350

Given numbers are 380, 724, 76, 166
The greatest common divisor of numbers 380, 724, 76, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 724, 76, 166 is 2.

1. What is the GCD of 380, 724, 76, 166?

GCD of given numbers 380, 724, 76, 166 is 2

2. How to calculate the greatest common divisor of 380, 724, 76, 166?

We can find the highest common divisor of 380, 724, 76, 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 380, 724, 76, 166 i.e 2.

3. How can I use the GCD of 380, 724, 76, 166Calculator?

Out the numbers 380, 724, 76, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.