GCD of 422, 560, 444, 348 Calculator

Given Input numbers are 422, 560, 444, 348

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (422, 560, 444, 348) = 2.

Given numbers are 422, 560, 444, 348

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 422, 560, 444, 348 is 2.

Given numbers are 422, 560, 444, 348

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

Apply this formula for all numbers.

Step1:

LCM(422, 560) = 118160

GCD(422, 560) = ( 422 x 560 ) / 118160

= 422 / 560

= 422

Step2:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 422, 560, 444, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 234, 155, 423
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• GCD of 371, 207, 401, 129
• GCD of 413, 345, 758, 547
• GCD of 721, 346, 906, 618

Given numbers are 422, 560, 444, 348
The greatest common divisor of numbers 422, 560, 444, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 560, 444, 348 is 2.

1. What is the GCD of 422, 560, 444, 348?

GCD of given numbers 422, 560, 444, 348 is 2

2. How to calculate the greatest common divisor of 422, 560, 444, 348?

We can find the highest common divisor of 422, 560, 444, 348 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, 560, 444, 348 i.e 2.

3. How can I use the GCD of 422, 560, 444, 348Calculator?

Out the numbers 422, 560, 444, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.