GCD of 392, 226, 352, 684 Calculator

Given Input numbers are 392, 226, 352, 684

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (392, 226, 352, 684) = 2.

Given numbers are 392, 226, 352, 684

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 226 are 2 x 113

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 392, 226, 352, 684 is 2.

Given numbers are 392, 226, 352, 684

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

Apply this formula for all numbers.

Step1:

LCM(392, 226) = 44296

GCD(392, 226) = ( 392 x 226 ) / 44296

= 392 / 226

= 392

Step2:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 392, 226, 352, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 350, 181, 385
• GCD of 408, 311, 467, 816
• GCD of 338, 545, 596, 357
• GCD of 922, 775, 312, 775
• GCD of 139, 572, 484, 881

Given numbers are 392, 226, 352, 684
The greatest common divisor of numbers 392, 226, 352, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 226, 352, 684 is 2.

1. What is the GCD of 392, 226, 352, 684?

GCD of given numbers 392, 226, 352, 684 is 2

2. How to calculate the greatest common divisor of 392, 226, 352, 684?

We can find the highest common divisor of 392, 226, 352, 684 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 392, 226, 352, 684 i.e 2.

3. How can I use the GCD of 392, 226, 352, 684Calculator?

Out the numbers 392, 226, 352, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.