GCD of 380, 232, 200, 826 Calculator

Given Input numbers are 380, 232, 200, 826

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (380, 232, 200, 826) = 2.

Given numbers are 380, 232, 200, 826

The list of prime factors of all numbers are

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

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 380, 232, 200, 826 is 2.

Given numbers are 380, 232, 200, 826

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

Apply this formula for all numbers.

Step1:

LCM(380, 232) = 22040

GCD(380, 232) = ( 380 x 232 ) / 22040

= 380 / 232

= 380

Step2:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4

Step3:

LCM(4, 826) = 1652

GCD(4, 826) = ( 4 x 826 ) / 1652

= 4 / 826

= 4

So, Greatest Common Divisor of 380, 232, 200, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 643, 667, 274
• GCD of 946, 412, 164, 836
• GCD of 106, 736, 705, 921
• GCD of 307, 911, 956, 681
• GCD of 101, 847, 667, 691

Given numbers are 380, 232, 200, 826
The greatest common divisor of numbers 380, 232, 200, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 232, 200, 826 is 2.

1. What is the GCD of 380, 232, 200, 826?

GCD of given numbers 380, 232, 200, 826 is 2

2. How to calculate the greatest common divisor of 380, 232, 200, 826?

We can find the highest common divisor of 380, 232, 200, 826 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, 232, 200, 826 i.e 2.

3. How can I use the GCD of 380, 232, 200, 826Calculator?

Out the numbers 380, 232, 200, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.