GCD of 814, 443, 315, 200 Calculator

Given Input numbers are 814, 443, 315, 200

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

Divisors of 814 :

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

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

Divisors of 443 :

The positive integer divisors of 443 that completely divides 443 are.

1, 443

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

GCD of numbers is the greatest common divisor

So, the GCD (814, 443, 315, 200) = 1.

Given numbers are 814, 443, 315, 200

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 443 are 443

Prime factors of 315 are 3 x 3 x 5 x 7

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

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

Given numbers are 814, 443, 315, 200

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

Apply this formula for all numbers.

Step1:

LCM(814, 443) = 360602

GCD(814, 443) = ( 814 x 443 ) / 360602

= 814 / 443

= 814

Step2:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 814, 443, 315, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 278, 892, 456
• GCD of 718, 984, 141, 518
• GCD of 453, 693, 807, 541
• GCD of 686, 559, 916, 143
• GCD of 836, 686, 396, 928

Given numbers are 814, 443, 315, 200
The greatest common divisor of numbers 814, 443, 315, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 443, 315, 200 is 1.

1. What is the GCD of 814, 443, 315, 200?

GCD of given numbers 814, 443, 315, 200 is 1

2. How to calculate the greatest common divisor of 814, 443, 315, 200?

We can find the highest common divisor of 814, 443, 315, 200 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 814, 443, 315, 200 i.e 1.

3. How can I use the GCD of 814, 443, 315, 200Calculator?

Out the numbers 814, 443, 315, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.