GCD of 814, 313, 798, 701 Calculator

Given Input numbers are 814, 313, 798, 701

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

GCD of numbers is the greatest common divisor

So, the GCD (814, 313, 798, 701) = 1.

Given numbers are 814, 313, 798, 701

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 313 are 313

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 701 are 701

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

Given numbers are 814, 313, 798, 701

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

Apply this formula for all numbers.

Step1:

LCM(814, 313) = 254782

GCD(814, 313) = ( 814 x 313 ) / 254782

= 814 / 313

= 814

Step2:

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

= 1 / 798

= 1

Step3:

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

= 1 / 701

= 1

So, Greatest Common Divisor of 814, 313, 798, 701 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 381, 814, 352
• GCD of 560, 152, 998, 135
• GCD of 358, 132, 929, 788
• GCD of 933, 594, 633, 857
• GCD of 917, 219, 233, 217

Given numbers are 814, 313, 798, 701
The greatest common divisor of numbers 814, 313, 798, 701 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 313, 798, 701 is 1.

1. What is the GCD of 814, 313, 798, 701?

GCD of given numbers 814, 313, 798, 701 is 1

2. How to calculate the greatest common divisor of 814, 313, 798, 701?

We can find the highest common divisor of 814, 313, 798, 701 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, 313, 798, 701 i.e 1.

3. How can I use the GCD of 814, 313, 798, 701Calculator?

Out the numbers 814, 313, 798, 701 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.