GCD of 700, 814, 462, 466 Calculator

Given Input numbers are 700, 814, 462, 466

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 814 :

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

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (700, 814, 462, 466) = 2.

Given numbers are 700, 814, 462, 466

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 814 are 2 x 11 x 37

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 700, 814, 462, 466 is 2.

Given numbers are 700, 814, 462, 466

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

Apply this formula for all numbers.

Step1:

LCM(700, 814) = 284900

GCD(700, 814) = ( 700 x 814 ) / 284900

= 700 / 814

= 700

Step2:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 700, 814, 462, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 729, 631, 393
• GCD of 562, 169, 234, 960
• GCD of 333, 387, 989, 648
• GCD of 966, 591, 478, 800
• GCD of 408, 835, 978, 457

Given numbers are 700, 814, 462, 466
The greatest common divisor of numbers 700, 814, 462, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 814, 462, 466 is 2.

1. What is the GCD of 700, 814, 462, 466?

GCD of given numbers 700, 814, 462, 466 is 2

2. How to calculate the greatest common divisor of 700, 814, 462, 466?

We can find the highest common divisor of 700, 814, 462, 466 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, 814, 462, 466 i.e 2.

3. How can I use the GCD of 700, 814, 462, 466Calculator?

Out the numbers 700, 814, 462, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.