GCD of 706, 354, 472, 328 Calculator

Given Input numbers are 706, 354, 472, 328

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 328 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (706, 354, 472, 328) = 2.

Given numbers are 706, 354, 472, 328

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 354 are 2 x 3 x 59

Prime factors of 472 are 2 x 2 x 2 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 706, 354, 472, 328 is 2.

Given numbers are 706, 354, 472, 328

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

Apply this formula for all numbers.

Step1:

LCM(706, 354) = 124962

GCD(706, 354) = ( 706 x 354 ) / 124962

= 706 / 354

= 706

Step2:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

Step3:

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

= 2 / 328

= 2

So, Greatest Common Divisor of 706, 354, 472, 328 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 421, 592, 289
• GCD of 354, 916, 807, 790
• GCD of 969, 475, 229, 197
• GCD of 651, 937, 543, 201
• GCD of 780, 726, 292, 431

Given numbers are 706, 354, 472, 328
The greatest common divisor of numbers 706, 354, 472, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 354, 472, 328 is 2.

1. What is the GCD of 706, 354, 472, 328?

GCD of given numbers 706, 354, 472, 328 is 2

2. How to calculate the greatest common divisor of 706, 354, 472, 328?

We can find the highest common divisor of 706, 354, 472, 328 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 706, 354, 472, 328 i.e 2.

3. How can I use the GCD of 706, 354, 472, 328Calculator?

Out the numbers 706, 354, 472, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.