GCD of 696, 328, 616, 474 Calculator

Given Input numbers are 696, 328, 616, 474

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 328 :

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

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

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (696, 328, 616, 474) = 2.

Given numbers are 696, 328, 616, 474

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

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

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 696, 328, 616, 474 is 2.

Given numbers are 696, 328, 616, 474

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

Apply this formula for all numbers.

Step1:

LCM(696, 328) = 28536

GCD(696, 328) = ( 696 x 328 ) / 28536

= 696 / 328

= 696

Step2:

LCM(8, 616) = 616

GCD(8, 616) = ( 8 x 616 ) / 616

= 8 / 616

= 8

Step3:

LCM(8, 474) = 1896

GCD(8, 474) = ( 8 x 474 ) / 1896

= 8 / 474

= 8

So, Greatest Common Divisor of 696, 328, 616, 474 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 574, 551, 255
• GCD of 292, 505, 341, 151
• GCD of 509, 151, 144, 296
• GCD of 449, 230, 317, 570
• GCD of 863, 899, 608, 288

Given numbers are 696, 328, 616, 474
The greatest common divisor of numbers 696, 328, 616, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 328, 616, 474 is 2.

1. What is the GCD of 696, 328, 616, 474?

GCD of given numbers 696, 328, 616, 474 is 2

2. How to calculate the greatest common divisor of 696, 328, 616, 474?

We can find the highest common divisor of 696, 328, 616, 474 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 696, 328, 616, 474 i.e 2.

3. How can I use the GCD of 696, 328, 616, 474Calculator?

Out the numbers 696, 328, 616, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.