GCD of 112, 328, 408, 708 Calculator

Given Input numbers are 112, 328, 408, 708

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (112, 328, 408, 708) = 4.

Given numbers are 112, 328, 408, 708

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 2²

Therefore, GCD of 112, 328, 408, 708 is 4.

Given numbers are 112, 328, 408, 708

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

Apply this formula for all numbers.

Step1:

LCM(112, 328) = 4592

GCD(112, 328) = ( 112 x 328 ) / 4592

= 112 / 328

= 112

Step2:

LCM(8, 408) = 408

GCD(8, 408) = ( 8 x 408 ) / 408

= 8 / 408

= 8

Step3:

LCM(8, 708) = 1416

GCD(8, 708) = ( 8 x 708 ) / 1416

= 8 / 708

= 8

So, Greatest Common Divisor of 112, 328, 408, 708 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 510, 310, 580
• GCD of 910, 713, 679, 674
• GCD of 894, 345, 918, 582
• GCD of 853, 691, 481, 457
• GCD of 666, 674, 184, 173

Given numbers are 112, 328, 408, 708
The greatest common divisor of numbers 112, 328, 408, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 328, 408, 708 is 4.

1. What is the GCD of 112, 328, 408, 708?

GCD of given numbers 112, 328, 408, 708 is 4

2. How to calculate the greatest common divisor of 112, 328, 408, 708?

We can find the highest common divisor of 112, 328, 408, 708 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 112, 328, 408, 708 i.e 4.

3. How can I use the GCD of 112, 328, 408, 708Calculator?

Out the numbers 112, 328, 408, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.