GCD of 494, 540, 852, 378 Calculator

Given Input numbers are 494, 540, 852, 378

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (494, 540, 852, 378) = 2.

Given numbers are 494, 540, 852, 378

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

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

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 494, 540, 852, 378 is 2.

Given numbers are 494, 540, 852, 378

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

Apply this formula for all numbers.

Step1:

LCM(494, 540) = 133380

GCD(494, 540) = ( 494 x 540 ) / 133380

= 494 / 540

= 494

Step2:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 494, 540, 852, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 963, 738, 198
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Given numbers are 494, 540, 852, 378
The greatest common divisor of numbers 494, 540, 852, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 540, 852, 378 is 2.

1. What is the GCD of 494, 540, 852, 378?

GCD of given numbers 494, 540, 852, 378 is 2

2. How to calculate the greatest common divisor of 494, 540, 852, 378?

We can find the highest common divisor of 494, 540, 852, 378 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 494, 540, 852, 378 i.e 2.

3. How can I use the GCD of 494, 540, 852, 378Calculator?

Out the numbers 494, 540, 852, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.