GCD of 380, 440, 338, 807 Calculator

Given Input numbers are 380, 440, 338, 807

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (380, 440, 338, 807) = 1.

Given numbers are 380, 440, 338, 807

The list of prime factors of all numbers are

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

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 338 are 2 x 13 x 13

Prime factors of 807 are 3 x 269

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

Given numbers are 380, 440, 338, 807

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

Apply this formula for all numbers.

Step1:

LCM(380, 440) = 8360

GCD(380, 440) = ( 380 x 440 ) / 8360

= 380 / 440

= 380

Step2:

LCM(20, 338) = 3380

GCD(20, 338) = ( 20 x 338 ) / 3380

= 20 / 338

= 20

Step3:

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

= 2 / 807

= 2

So, Greatest Common Divisor of 380, 440, 338, 807 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 236, 598, 817
• GCD of 805, 714, 991, 949
• GCD of 765, 658, 372, 532
• GCD of 392, 202, 230, 248
• GCD of 740, 223, 922, 556

Given numbers are 380, 440, 338, 807
The greatest common divisor of numbers 380, 440, 338, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 440, 338, 807 is 1.

1. What is the GCD of 380, 440, 338, 807?

GCD of given numbers 380, 440, 338, 807 is 1

2. How to calculate the greatest common divisor of 380, 440, 338, 807?

We can find the highest common divisor of 380, 440, 338, 807 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, 440, 338, 807 i.e 1.

3. How can I use the GCD of 380, 440, 338, 807Calculator?

Out the numbers 380, 440, 338, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.