GCD of 380, 714, 353, 500 Calculator

Given Input numbers are 380, 714, 353, 500

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (380, 714, 353, 500) = 1.

Given numbers are 380, 714, 353, 500

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 353 are 353

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Given numbers are 380, 714, 353, 500

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

Apply this formula for all numbers.

Step1:

LCM(380, 714) = 135660

GCD(380, 714) = ( 380 x 714 ) / 135660

= 380 / 714

= 380

Step2:

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

= 2 / 353

= 2

Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

So, Greatest Common Divisor of 380, 714, 353, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 899, 884, 794
• GCD of 895, 433, 428, 532
• GCD of 943, 995, 336, 418
• GCD of 743, 221, 301, 498
• GCD of 708, 164, 100, 527

Given numbers are 380, 714, 353, 500
The greatest common divisor of numbers 380, 714, 353, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 714, 353, 500 is 1.

1. What is the GCD of 380, 714, 353, 500?

GCD of given numbers 380, 714, 353, 500 is 1

2. How to calculate the greatest common divisor of 380, 714, 353, 500?

We can find the highest common divisor of 380, 714, 353, 500 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, 714, 353, 500 i.e 1.

3. How can I use the GCD of 380, 714, 353, 500Calculator?

Out the numbers 380, 714, 353, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.