GCD of 764, 894, 392, 540 Calculator

Given Input numbers are 764, 894, 392, 540

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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

GCD of numbers is the greatest common divisor

So, the GCD (764, 894, 392, 540) = 2.

Given numbers are 764, 894, 392, 540

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 894 are 2 x 3 x 149

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 764, 894, 392, 540 is 2.

Given numbers are 764, 894, 392, 540

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

Apply this formula for all numbers.

Step1:

LCM(764, 894) = 341508

GCD(764, 894) = ( 764 x 894 ) / 341508

= 764 / 894

= 764

Step2:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2

Step3:

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

= 2 / 540

= 2

So, Greatest Common Divisor of 764, 894, 392, 540 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 323, 946, 743
• GCD of 607, 809, 273, 188
• GCD of 436, 820, 599, 298
• GCD of 801, 469, 554, 120
• GCD of 126, 595, 916, 525

Given numbers are 764, 894, 392, 540
The greatest common divisor of numbers 764, 894, 392, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 894, 392, 540 is 2.

1. What is the GCD of 764, 894, 392, 540?

GCD of given numbers 764, 894, 392, 540 is 2

2. How to calculate the greatest common divisor of 764, 894, 392, 540?

We can find the highest common divisor of 764, 894, 392, 540 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 764, 894, 392, 540 i.e 2.

3. How can I use the GCD of 764, 894, 392, 540Calculator?

Out the numbers 764, 894, 392, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.