GCD of 422, 554, 428, 308 Calculator

Given Input numbers are 422, 554, 428, 308

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (422, 554, 428, 308) = 2.

Given numbers are 422, 554, 428, 308

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 554 are 2 x 277

Prime factors of 428 are 2 x 2 x 107

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 422, 554, 428, 308 is 2.

Given numbers are 422, 554, 428, 308

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

Apply this formula for all numbers.

Step1:

LCM(422, 554) = 116894

GCD(422, 554) = ( 422 x 554 ) / 116894

= 422 / 554

= 422

Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 422, 554, 428, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 938, 527, 659
• GCD of 194, 310, 747, 259
• GCD of 802, 570, 197, 397
• GCD of 651, 451, 672, 325
• GCD of 534, 983, 345, 610

Given numbers are 422, 554, 428, 308
The greatest common divisor of numbers 422, 554, 428, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 554, 428, 308 is 2.

1. What is the GCD of 422, 554, 428, 308?

GCD of given numbers 422, 554, 428, 308 is 2

2. How to calculate the greatest common divisor of 422, 554, 428, 308?

We can find the highest common divisor of 422, 554, 428, 308 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 422, 554, 428, 308 i.e 2.

3. How can I use the GCD of 422, 554, 428, 308Calculator?

Out the numbers 422, 554, 428, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.