GCD of 424, 284, 370, 104 Calculator

Given Input numbers are 424, 284, 370, 104

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

Divisors of 424 :

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

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (424, 284, 370, 104) = 2.

Given numbers are 424, 284, 370, 104

The list of prime factors of all numbers are

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 370 are 2 x 5 x 37

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 424, 284, 370, 104 is 2.

Given numbers are 424, 284, 370, 104

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

Apply this formula for all numbers.

Step1:

LCM(424, 284) = 30104

GCD(424, 284) = ( 424 x 284 ) / 30104

= 424 / 284

= 424

Step2:

LCM(4, 370) = 740

GCD(4, 370) = ( 4 x 370 ) / 740

= 4 / 370

= 4

Step3:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

So, Greatest Common Divisor of 424, 284, 370, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 778, 866, 157
• GCD of 244, 920, 159, 649
• GCD of 602, 882, 873, 671
• GCD of 407, 862, 813, 362
• GCD of 350, 139, 763, 251

Given numbers are 424, 284, 370, 104
The greatest common divisor of numbers 424, 284, 370, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 284, 370, 104 is 2.

1. What is the GCD of 424, 284, 370, 104?

GCD of given numbers 424, 284, 370, 104 is 2

2. How to calculate the greatest common divisor of 424, 284, 370, 104?

We can find the highest common divisor of 424, 284, 370, 104 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 424, 284, 370, 104 i.e 2.

3. How can I use the GCD of 424, 284, 370, 104Calculator?

Out the numbers 424, 284, 370, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.