GCD of 442, 656, 394, 898 Calculator

Given Input numbers are 442, 656, 394, 898

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 656 :

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

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (442, 656, 394, 898) = 2.

Given numbers are 442, 656, 394, 898

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

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

Prime factors of 394 are 2 x 197

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 442, 656, 394, 898 is 2.

Given numbers are 442, 656, 394, 898

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

Apply this formula for all numbers.

Step1:

LCM(442, 656) = 144976

GCD(442, 656) = ( 442 x 656 ) / 144976

= 442 / 656

= 442

Step2:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 442, 656, 394, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 586, 384, 471
• GCD of 618, 540, 268, 126
• GCD of 664, 678, 974, 552
• GCD of 722, 313, 765, 323
• GCD of 810, 182, 292, 999

Given numbers are 442, 656, 394, 898
The greatest common divisor of numbers 442, 656, 394, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 656, 394, 898 is 2.

1. What is the GCD of 442, 656, 394, 898?

GCD of given numbers 442, 656, 394, 898 is 2

2. How to calculate the greatest common divisor of 442, 656, 394, 898?

We can find the highest common divisor of 442, 656, 394, 898 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 442, 656, 394, 898 i.e 2.

3. How can I use the GCD of 442, 656, 394, 898Calculator?

Out the numbers 442, 656, 394, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.