GCD of 646, 704, 940, 342 Calculator

Given Input numbers are 646, 704, 940, 342

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

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (646, 704, 940, 342) = 2.

Given numbers are 646, 704, 940, 342

The list of prime factors of all numbers are

Prime factors of 646 are 2 x 17 x 19

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 646, 704, 940, 342 is 2.

Given numbers are 646, 704, 940, 342

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

Apply this formula for all numbers.

Step1:

LCM(646, 704) = 227392

GCD(646, 704) = ( 646 x 704 ) / 227392

= 646 / 704

= 646

Step2:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 646, 704, 940, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 308, 386, 619
• GCD of 882, 439, 792, 311
• GCD of 607, 249, 282, 155
• GCD of 790, 665, 884, 330
• GCD of 576, 609, 244, 321

Given numbers are 646, 704, 940, 342
The greatest common divisor of numbers 646, 704, 940, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 646, 704, 940, 342 is 2.

1. What is the GCD of 646, 704, 940, 342?

GCD of given numbers 646, 704, 940, 342 is 2

2. How to calculate the greatest common divisor of 646, 704, 940, 342?

We can find the highest common divisor of 646, 704, 940, 342 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 646, 704, 940, 342 i.e 2.

3. How can I use the GCD of 646, 704, 940, 342Calculator?

Out the numbers 646, 704, 940, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.