GCD of 638, 282, 424, 280 Calculator

Given Input numbers are 638, 282, 424, 280

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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 (638, 282, 424, 280) = 2.

Given numbers are 638, 282, 424, 280

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 282 are 2 x 3 x 47

Prime factors of 424 are 2 x 2 x 2 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 638, 282, 424, 280 is 2.

Given numbers are 638, 282, 424, 280

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

Apply this formula for all numbers.

Step1:

LCM(638, 282) = 89958

GCD(638, 282) = ( 638 x 282 ) / 89958

= 638 / 282

= 638

Step2:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

Step3:

LCM(2, 280) = 280

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

= 2 / 280

= 2

So, Greatest Common Divisor of 638, 282, 424, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 294, 334, 131
• GCD of 749, 674, 108, 320
• GCD of 398, 748, 146, 742
• GCD of 860, 110, 766, 980
• GCD of 346, 582, 966, 749

Given numbers are 638, 282, 424, 280
The greatest common divisor of numbers 638, 282, 424, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 282, 424, 280 is 2.

1. What is the GCD of 638, 282, 424, 280?

GCD of given numbers 638, 282, 424, 280 is 2

2. How to calculate the greatest common divisor of 638, 282, 424, 280?

We can find the highest common divisor of 638, 282, 424, 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 638, 282, 424, 280 i.e 2.

3. How can I use the GCD of 638, 282, 424, 280Calculator?

Out the numbers 638, 282, 424, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.