GCD of 200, 375, 307, 814 Calculator

Given Input numbers are 200, 375, 307, 814

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

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (200, 375, 307, 814) = 1.

Given numbers are 200, 375, 307, 814

The list of prime factors of all numbers are

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

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 307 are 307

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 200, 375, 307, 814

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

Apply this formula for all numbers.

Step1:

LCM(200, 375) = 3000

GCD(200, 375) = ( 200 x 375 ) / 3000

= 200 / 375

= 200

Step2:

LCM(25, 307) = 7675

GCD(25, 307) = ( 25 x 307 ) / 7675

= 25 / 307

= 25

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 200, 375, 307, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 933, 866, 553
• GCD of 997, 855, 521, 910
• GCD of 990, 559, 813, 908
• GCD of 276, 319, 674, 202
• GCD of 151, 737, 903, 744

Given numbers are 200, 375, 307, 814
The greatest common divisor of numbers 200, 375, 307, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 375, 307, 814 is 1.

1. What is the GCD of 200, 375, 307, 814?

GCD of given numbers 200, 375, 307, 814 is 1

2. How to calculate the greatest common divisor of 200, 375, 307, 814?

We can find the highest common divisor of 200, 375, 307, 814 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 200, 375, 307, 814 i.e 1.

3. How can I use the GCD of 200, 375, 307, 814Calculator?

Out the numbers 200, 375, 307, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.