GCD of 304, 542, 682, 704 Calculator

Given Input numbers are 304, 542, 682, 704

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 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 682 :

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

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (304, 542, 682, 704) = 2.

Given numbers are 304, 542, 682, 704

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 542 are 2 x 271

Prime factors of 682 are 2 x 11 x 31

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 304, 542, 682, 704 is 2.

Given numbers are 304, 542, 682, 704

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

Apply this formula for all numbers.

Step1:

LCM(304, 542) = 82384

GCD(304, 542) = ( 304 x 542 ) / 82384

= 304 / 542

= 304

Step2:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 304, 542, 682, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 689, 143, 956
• GCD of 342, 300, 596, 514
• GCD of 205, 331, 902, 391
• GCD of 876, 124, 585, 245
• GCD of 736, 584, 368, 499

Given numbers are 304, 542, 682, 704
The greatest common divisor of numbers 304, 542, 682, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 542, 682, 704 is 2.

1. What is the GCD of 304, 542, 682, 704?

GCD of given numbers 304, 542, 682, 704 is 2

2. How to calculate the greatest common divisor of 304, 542, 682, 704?

We can find the highest common divisor of 304, 542, 682, 704 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, 542, 682, 704 i.e 2.

3. How can I use the GCD of 304, 542, 682, 704Calculator?

Out the numbers 304, 542, 682, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.