GCD of 646, 520, 378, 416 Calculator

Given Input numbers are 646, 520, 378, 416

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 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (646, 520, 378, 416) = 2.

Given numbers are 646, 520, 378, 416

The list of prime factors of all numbers are

Prime factors of 646 are 2 x 17 x 19

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 646, 520, 378, 416 is 2.

Given numbers are 646, 520, 378, 416

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

Apply this formula for all numbers.

Step1:

LCM(646, 520) = 167960

GCD(646, 520) = ( 646 x 520 ) / 167960

= 646 / 520

= 646

Step2:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

Step3:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

So, Greatest Common Divisor of 646, 520, 378, 416 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 165, 131, 928
• GCD of 915, 921, 645, 433
• GCD of 629, 474, 321, 621
• GCD of 250, 884, 472, 904
• GCD of 520, 432, 439, 969

Given numbers are 646, 520, 378, 416
The greatest common divisor of numbers 646, 520, 378, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 646, 520, 378, 416 is 2.

1. What is the GCD of 646, 520, 378, 416?

GCD of given numbers 646, 520, 378, 416 is 2

2. How to calculate the greatest common divisor of 646, 520, 378, 416?

We can find the highest common divisor of 646, 520, 378, 416 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, 520, 378, 416 i.e 2.

3. How can I use the GCD of 646, 520, 378, 416Calculator?

Out the numbers 646, 520, 378, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.