GCD of 482, 496, 814, 280 Calculator

Given Input numbers are 482, 496, 814, 280

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

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (482, 496, 814, 280) = 2.

Given numbers are 482, 496, 814, 280

The list of prime factors of all numbers are

Prime factors of 482 are 2 x 241

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 814 are 2 x 11 x 37

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 482, 496, 814, 280 is 2.

Given numbers are 482, 496, 814, 280

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

Apply this formula for all numbers.

Step1:

LCM(482, 496) = 119536

GCD(482, 496) = ( 482 x 496 ) / 119536

= 482 / 496

= 482

Step2:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 482, 496, 814, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 334, 386, 635
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• GCD of 846, 558, 826, 100

Given numbers are 482, 496, 814, 280
The greatest common divisor of numbers 482, 496, 814, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 496, 814, 280 is 2.

1. What is the GCD of 482, 496, 814, 280?

GCD of given numbers 482, 496, 814, 280 is 2

2. How to calculate the greatest common divisor of 482, 496, 814, 280?

We can find the highest common divisor of 482, 496, 814, 280 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 482, 496, 814, 280 i.e 2.

3. How can I use the GCD of 482, 496, 814, 280Calculator?

Out the numbers 482, 496, 814, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.