GCD of 540, 814, 350, 782 Calculator

Given Input numbers are 540, 814, 350, 782

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

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 814 :

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

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (540, 814, 350, 782) = 2.

Given numbers are 540, 814, 350, 782

The list of prime factors of all numbers are

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

Prime factors of 814 are 2 x 11 x 37

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 540, 814, 350, 782 is 2.

Given numbers are 540, 814, 350, 782

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

Apply this formula for all numbers.

Step1:

LCM(540, 814) = 219780

GCD(540, 814) = ( 540 x 814 ) / 219780

= 540 / 814

= 540

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 540, 814, 350, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 562, 358, 645
• GCD of 335, 622, 244, 782
• GCD of 364, 649, 203, 192
• GCD of 221, 199, 721, 447
• GCD of 495, 885, 421, 325

Given numbers are 540, 814, 350, 782
The greatest common divisor of numbers 540, 814, 350, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 814, 350, 782 is 2.

1. What is the GCD of 540, 814, 350, 782?

GCD of given numbers 540, 814, 350, 782 is 2

2. How to calculate the greatest common divisor of 540, 814, 350, 782?

We can find the highest common divisor of 540, 814, 350, 782 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 540, 814, 350, 782 i.e 2.

3. How can I use the GCD of 540, 814, 350, 782Calculator?

Out the numbers 540, 814, 350, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.