GCD of 304, 540, 682, 428 Calculator

Given Input numbers are 304, 540, 682, 428

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (304, 540, 682, 428) = 2.

Given numbers are 304, 540, 682, 428

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Prime factors of 682 are 2 x 11 x 31

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 304, 540, 682, 428 is 2.

Given numbers are 304, 540, 682, 428

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

Apply this formula for all numbers.

Step1:

LCM(304, 540) = 41040

GCD(304, 540) = ( 304 x 540 ) / 41040

= 304 / 540

= 304

Step2:

LCM(4, 682) = 1364

GCD(4, 682) = ( 4 x 682 ) / 1364

= 4 / 682

= 4

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 304, 540, 682, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 894, 237, 544
• GCD of 205, 428, 253, 703
• GCD of 306, 195, 578, 119
• GCD of 867, 298, 838, 494
• GCD of 253, 240, 491, 541

Given numbers are 304, 540, 682, 428
The greatest common divisor of numbers 304, 540, 682, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 540, 682, 428 is 2.

1. What is the GCD of 304, 540, 682, 428?

GCD of given numbers 304, 540, 682, 428 is 2

2. How to calculate the greatest common divisor of 304, 540, 682, 428?

We can find the highest common divisor of 304, 540, 682, 428 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 304, 540, 682, 428 i.e 2.

3. How can I use the GCD of 304, 540, 682, 428Calculator?

Out the numbers 304, 540, 682, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.