GCD of 814, 747, 842, 311 Calculator

Given Input numbers are 814, 747, 842, 311

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (814, 747, 842, 311) = 1.

Given numbers are 814, 747, 842, 311

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 747 are 3 x 3 x 83

Prime factors of 842 are 2 x 421

Prime factors of 311 are 311

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

Given numbers are 814, 747, 842, 311

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

Apply this formula for all numbers.

Step1:

LCM(814, 747) = 608058

GCD(814, 747) = ( 814 x 747 ) / 608058

= 814 / 747

= 814

Step2:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1

Step3:

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

= 1 / 311

= 1

So, Greatest Common Divisor of 814, 747, 842, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 410, 464, 182
• GCD of 450, 734, 170, 490
• GCD of 768, 863, 366, 996
• GCD of 642, 773, 281, 370
• GCD of 562, 388, 356, 928

Given numbers are 814, 747, 842, 311
The greatest common divisor of numbers 814, 747, 842, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 747, 842, 311 is 1.

1. What is the GCD of 814, 747, 842, 311?

GCD of given numbers 814, 747, 842, 311 is 1

2. How to calculate the greatest common divisor of 814, 747, 842, 311?

We can find the highest common divisor of 814, 747, 842, 311 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, 747, 842, 311 i.e 1.

3. How can I use the GCD of 814, 747, 842, 311Calculator?

Out the numbers 814, 747, 842, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.