GCD of 838, 494, 42, 656 Calculator

Given Input numbers are 838, 494, 42, 656

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (838, 494, 42, 656) = 2.

Given numbers are 838, 494, 42, 656

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 494 are 2 x 13 x 19

Prime factors of 42 are 2 x 3 x 7

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 838, 494, 42, 656 is 2.

Given numbers are 838, 494, 42, 656

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

Apply this formula for all numbers.

Step1:

LCM(838, 494) = 206986

GCD(838, 494) = ( 838 x 494 ) / 206986

= 838 / 494

= 838

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

So, Greatest Common Divisor of 838, 494, 42, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 731, 41, 180
• GCD of 714, 236, 42, 392
• GCD of 187, 272, 37, 359
• GCD of 991, 224, 40, 540
• GCD of 459, 230, 30, 904

Given numbers are 838, 494, 42, 656
The greatest common divisor of numbers 838, 494, 42, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 494, 42, 656 is 2.

1. What is the GCD of 838, 494, 42, 656?

GCD of given numbers 838, 494, 42, 656 is 2

2. How to calculate the greatest common divisor of 838, 494, 42, 656?

We can find the highest common divisor of 838, 494, 42, 656 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 838, 494, 42, 656 i.e 2.

3. How can I use the GCD of 838, 494, 42, 656Calculator?

Out the numbers 838, 494, 42, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.