GCD of 668, 540, 702, 814 Calculator

Given Input numbers are 668, 540, 702, 814

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

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 (668, 540, 702, 814) = 2.

Given numbers are 668, 540, 702, 814

The list of prime factors of all numbers are

Prime factors of 668 are 2 x 2 x 167

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 668, 540, 702, 814 is 2.

Given numbers are 668, 540, 702, 814

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

Apply this formula for all numbers.

Step1:

LCM(668, 540) = 90180

GCD(668, 540) = ( 668 x 540 ) / 90180

= 668 / 540

= 668

Step2:

LCM(4, 702) = 1404

GCD(4, 702) = ( 4 x 702 ) / 1404

= 4 / 702

= 4

Step3:

LCM(2, 814) = 814

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

= 2 / 814

= 2

So, Greatest Common Divisor of 668, 540, 702, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 548, 722, 949
• GCD of 530, 313, 773, 354
• GCD of 166, 109, 879, 733
• GCD of 384, 448, 610, 957
• GCD of 382, 114, 334, 250

Given numbers are 668, 540, 702, 814
The greatest common divisor of numbers 668, 540, 702, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 668, 540, 702, 814 is 2.

1. What is the GCD of 668, 540, 702, 814?

GCD of given numbers 668, 540, 702, 814 is 2

2. How to calculate the greatest common divisor of 668, 540, 702, 814?

We can find the highest common divisor of 668, 540, 702, 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 668, 540, 702, 814 i.e 2.

3. How can I use the GCD of 668, 540, 702, 814Calculator?

Out the numbers 668, 540, 702, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.