GCD of 380, 914, 925, 796 Calculator

Given Input numbers are 380, 914, 925, 796

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 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

GCD of numbers is the greatest common divisor

So, the GCD (380, 914, 925, 796) = 1.

Given numbers are 380, 914, 925, 796

The list of prime factors of all numbers are

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

Prime factors of 914 are 2 x 457

Prime factors of 925 are 5 x 5 x 37

Prime factors of 796 are 2 x 2 x 199

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 380, 914, 925, 796

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

Apply this formula for all numbers.

Step1:

LCM(380, 914) = 173660

GCD(380, 914) = ( 380 x 914 ) / 173660

= 380 / 914

= 380

Step2:

LCM(2, 925) = 1850

GCD(2, 925) = ( 2 x 925 ) / 1850

= 2 / 925

= 2

Step3:

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

= 1 / 796

= 1

So, Greatest Common Divisor of 380, 914, 925, 796 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 663, 890, 251
• GCD of 155, 973, 264, 631
• GCD of 205, 294, 720, 193
• GCD of 206, 764, 525, 798
• GCD of 180, 131, 349, 109

Given numbers are 380, 914, 925, 796
The greatest common divisor of numbers 380, 914, 925, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 914, 925, 796 is 1.

1. What is the GCD of 380, 914, 925, 796?

GCD of given numbers 380, 914, 925, 796 is 1

2. How to calculate the greatest common divisor of 380, 914, 925, 796?

We can find the highest common divisor of 380, 914, 925, 796 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, 914, 925, 796 i.e 1.

3. How can I use the GCD of 380, 914, 925, 796Calculator?

Out the numbers 380, 914, 925, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.