GCD of 700, 814, 184, 518 Calculator

Given Input numbers are 700, 814, 184, 518

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 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (700, 814, 184, 518) = 2.

Given numbers are 700, 814, 184, 518

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 184 are 2 x 2 x 2 x 23

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 700, 814, 184, 518 is 2.

Given numbers are 700, 814, 184, 518

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, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

= 2 / 184

= 2

Step3:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2

So, Greatest Common Divisor of 700, 814, 184, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 864, 460, 872
• GCD of 986, 128, 591, 935
• GCD of 623, 431, 949, 653
• GCD of 240, 647, 970, 759
• GCD of 517, 496, 226, 510

Given numbers are 700, 814, 184, 518
The greatest common divisor of numbers 700, 814, 184, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 814, 184, 518 is 2.

1. What is the GCD of 700, 814, 184, 518?

GCD of given numbers 700, 814, 184, 518 is 2

2. How to calculate the greatest common divisor of 700, 814, 184, 518?

We can find the highest common divisor of 700, 814, 184, 518 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, 184, 518 i.e 2.

3. How can I use the GCD of 700, 814, 184, 518Calculator?

Out the numbers 700, 814, 184, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.