GCD of 814, 713, 448, 734 Calculator

Given Input numbers are 814, 713, 448, 734

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 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (814, 713, 448, 734) = 1.

Given numbers are 814, 713, 448, 734

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 713 are 23 x 31

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 734 are 2 x 367

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

Given numbers are 814, 713, 448, 734

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

Apply this formula for all numbers.

Step1:

LCM(814, 713) = 580382

GCD(814, 713) = ( 814 x 713 ) / 580382

= 814 / 713

= 814

Step2:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1

So, Greatest Common Divisor of 814, 713, 448, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 817, 835, 980
• GCD of 231, 920, 823, 364
• GCD of 712, 220, 877, 941
• GCD of 947, 869, 319, 349
• GCD of 604, 375, 409, 880

Given numbers are 814, 713, 448, 734
The greatest common divisor of numbers 814, 713, 448, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 713, 448, 734 is 1.

1. What is the GCD of 814, 713, 448, 734?

GCD of given numbers 814, 713, 448, 734 is 1

2. How to calculate the greatest common divisor of 814, 713, 448, 734?

We can find the highest common divisor of 814, 713, 448, 734 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, 713, 448, 734 i.e 1.

3. How can I use the GCD of 814, 713, 448, 734Calculator?

Out the numbers 814, 713, 448, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.