GCD of 803, 671, 150, 314 Calculator

Given Input numbers are 803, 671, 150, 314

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

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (803, 671, 150, 314) = 1.

Given numbers are 803, 671, 150, 314

The list of prime factors of all numbers are

Prime factors of 803 are 11 x 73

Prime factors of 671 are 11 x 61

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 314 are 2 x 157

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

Given numbers are 803, 671, 150, 314

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

Apply this formula for all numbers.

Step1:

LCM(803, 671) = 48983

GCD(803, 671) = ( 803 x 671 ) / 48983

= 803 / 671

= 803

Step2:

LCM(11, 150) = 1650

GCD(11, 150) = ( 11 x 150 ) / 1650

= 11 / 150

= 11

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 803, 671, 150, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 787, 540, 908
• GCD of 898, 402, 784, 540
• GCD of 447, 535, 569, 259
• GCD of 491, 844, 348, 293
• GCD of 121, 330, 939, 399

Given numbers are 803, 671, 150, 314
The greatest common divisor of numbers 803, 671, 150, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 803, 671, 150, 314 is 1.

1. What is the GCD of 803, 671, 150, 314?

GCD of given numbers 803, 671, 150, 314 is 1

2. How to calculate the greatest common divisor of 803, 671, 150, 314?

We can find the highest common divisor of 803, 671, 150, 314 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 803, 671, 150, 314 i.e 1.

3. How can I use the GCD of 803, 671, 150, 314Calculator?

Out the numbers 803, 671, 150, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.