GCD of 382, 990, 560, 242 Calculator

Given Input numbers are 382, 990, 560, 242

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (382, 990, 560, 242) = 2.

Given numbers are 382, 990, 560, 242

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 382, 990, 560, 242 is 2.

Given numbers are 382, 990, 560, 242

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

Apply this formula for all numbers.

Step1:

LCM(382, 990) = 189090

GCD(382, 990) = ( 382 x 990 ) / 189090

= 382 / 990

= 382

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 382, 990, 560, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 818, 447, 747
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• GCD of 216, 948, 427, 972
• GCD of 114, 141, 472, 530
• GCD of 782, 818, 568, 138

Given numbers are 382, 990, 560, 242
The greatest common divisor of numbers 382, 990, 560, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 990, 560, 242 is 2.

1. What is the GCD of 382, 990, 560, 242?

GCD of given numbers 382, 990, 560, 242 is 2

2. How to calculate the greatest common divisor of 382, 990, 560, 242?

We can find the highest common divisor of 382, 990, 560, 242 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 382, 990, 560, 242 i.e 2.

3. How can I use the GCD of 382, 990, 560, 242Calculator?

Out the numbers 382, 990, 560, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.