GCD of 700, 566, 814 Calculator

Given Input numbers are 700, 566, 814

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

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 (700, 566, 814) = 2.

Given numbers are 700, 566, 814

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 566 are 2 x 283

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 700, 566, 814 is 2.

Given numbers are 700, 566, 814

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

Apply this formula for all numbers.

Step1:

LCM(700, 566) = 198100

GCD(700, 566) = ( 700 x 566 ) / 198100

= 700 / 566

= 700

Step2:

LCM(2, 814) = 814

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

= 2 / 814

= 2

So, Greatest Common Divisor of 700, 566, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 772, 105
• GCD of 395, 294, 261
• GCD of 976, 662, 124
• GCD of 936, 648, 315
• GCD of 531, 220, 197

Given numbers are 700, 566, 814
The greatest common divisor of numbers 700, 566, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 566, 814 is 2.

1. What is the GCD of 700, 566, 814?

GCD of given numbers 700, 566, 814 is 2

2. How to calculate the greatest common divisor of 700, 566, 814?

We can find the highest common divisor of 700, 566, 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 700, 566, 814 i.e 2.

3. How can I use the GCD of 700, 566, 814Calculator?

Out the numbers 700, 566, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.