GCD of 730, 802, 814 Calculator

Given Input numbers are 730, 802, 814

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 814 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (730, 802, 814) = 2.

Given numbers are 730, 802, 814

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 802 are 2 x 401

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 730, 802, 814 is 2.

Given numbers are 730, 802, 814

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

Apply this formula for all numbers.

Step1:

LCM(730, 802) = 292730

GCD(730, 802) = ( 730 x 802 ) / 292730

= 730 / 802

= 730

Step2:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 730, 802, 814 is 2

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Given numbers are 730, 802, 814
The greatest common divisor of numbers 730, 802, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 802, 814 is 2.

1. What is the GCD of 730, 802, 814?

GCD of given numbers 730, 802, 814 is 2

2. How to calculate the greatest common divisor of 730, 802, 814?

We can find the highest common divisor of 730, 802, 814 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 730, 802, 814 i.e 2.

3. How can I use the GCD of 730, 802, 814Calculator?

Out the numbers 730, 802, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.