GCD of 228, 346, 120, 708 Calculator

Given Input numbers are 228, 346, 120, 708

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 (228, 346, 120, 708) = 2.

Given numbers are 228, 346, 120, 708

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 346 are 2 x 173

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 228, 346, 120, 708 is 2.

Given numbers are 228, 346, 120, 708

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

Apply this formula for all numbers.

Step1:

LCM(228, 346) = 39444

GCD(228, 346) = ( 228 x 346 ) / 39444

= 228 / 346

= 228

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

So, Greatest Common Divisor of 228, 346, 120, 708 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 252, 707, 526
• GCD of 389, 248, 967, 927
• GCD of 399, 964, 344, 155
• GCD of 549, 658, 839, 779
• GCD of 135, 553, 627, 635

Given numbers are 228, 346, 120, 708
The greatest common divisor of numbers 228, 346, 120, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 346, 120, 708 is 2.

1. What is the GCD of 228, 346, 120, 708?

GCD of given numbers 228, 346, 120, 708 is 2

2. How to calculate the greatest common divisor of 228, 346, 120, 708?

We can find the highest common divisor of 228, 346, 120, 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 228, 346, 120, 708 i.e 2.

3. How can I use the GCD of 228, 346, 120, 708Calculator?

Out the numbers 228, 346, 120, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.