GCD of 304, 464, 616, 258 Calculator

Given Input numbers are 304, 464, 616, 258

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (304, 464, 616, 258) = 2.

Given numbers are 304, 464, 616, 258

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 304, 464, 616, 258 is 2.

Given numbers are 304, 464, 616, 258

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

Apply this formula for all numbers.

Step1:

LCM(304, 464) = 8816

GCD(304, 464) = ( 304 x 464 ) / 8816

= 304 / 464

= 304

Step2:

LCM(16, 616) = 1232

GCD(16, 616) = ( 16 x 616 ) / 1232

= 16 / 616

= 16

Step3:

LCM(8, 258) = 1032

GCD(8, 258) = ( 8 x 258 ) / 1032

= 8 / 258

= 8

So, Greatest Common Divisor of 304, 464, 616, 258 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 782, 461, 674
• GCD of 434, 303, 886, 778
• GCD of 240, 834, 945, 301
• GCD of 510, 772, 748, 989
• GCD of 516, 880, 891, 376

Given numbers are 304, 464, 616, 258
The greatest common divisor of numbers 304, 464, 616, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 464, 616, 258 is 2.

1. What is the GCD of 304, 464, 616, 258?

GCD of given numbers 304, 464, 616, 258 is 2

2. How to calculate the greatest common divisor of 304, 464, 616, 258?

We can find the highest common divisor of 304, 464, 616, 258 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, 464, 616, 258 i.e 2.

3. How can I use the GCD of 304, 464, 616, 258Calculator?

Out the numbers 304, 464, 616, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.