GCD of 208, 300, 424, 402 Calculator

Given Input numbers are 208, 300, 424, 402

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 424 :

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

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (208, 300, 424, 402) = 2.

Given numbers are 208, 300, 424, 402

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 208, 300, 424, 402 is 2.

Given numbers are 208, 300, 424, 402

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

Apply this formula for all numbers.

Step1:

LCM(208, 300) = 15600

GCD(208, 300) = ( 208 x 300 ) / 15600

= 208 / 300

= 208

Step2:

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

= 4 / 424

= 4

Step3:

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

= 4 / 402

= 4

So, Greatest Common Divisor of 208, 300, 424, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 310, 598, 873
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• GCD of 872, 437, 610, 546
• GCD of 999, 164, 120, 952

Given numbers are 208, 300, 424, 402
The greatest common divisor of numbers 208, 300, 424, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 300, 424, 402 is 2.

1. What is the GCD of 208, 300, 424, 402?

GCD of given numbers 208, 300, 424, 402 is 2

2. How to calculate the greatest common divisor of 208, 300, 424, 402?

We can find the highest common divisor of 208, 300, 424, 402 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 208, 300, 424, 402 i.e 2.

3. How can I use the GCD of 208, 300, 424, 402Calculator?

Out the numbers 208, 300, 424, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.