GCD of 428, 232, 600, 218 Calculator

Given Input numbers are 428, 232, 600, 218

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (428, 232, 600, 218) = 2.

Given numbers are 428, 232, 600, 218

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 428, 232, 600, 218 is 2.

Given numbers are 428, 232, 600, 218

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

Apply this formula for all numbers.

Step1:

LCM(428, 232) = 24824

GCD(428, 232) = ( 428 x 232 ) / 24824

= 428 / 232

= 428

Step2:

LCM(4, 600) = 600

GCD(4, 600) = ( 4 x 600 ) / 600

= 4 / 600

= 4

Step3:

LCM(4, 218) = 436

GCD(4, 218) = ( 4 x 218 ) / 436

= 4 / 218

= 4

So, Greatest Common Divisor of 428, 232, 600, 218 is 2

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• GCD of 872, 803, 370, 466
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Given numbers are 428, 232, 600, 218
The greatest common divisor of numbers 428, 232, 600, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 232, 600, 218 is 2.

1. What is the GCD of 428, 232, 600, 218?

GCD of given numbers 428, 232, 600, 218 is 2

2. How to calculate the greatest common divisor of 428, 232, 600, 218?

We can find the highest common divisor of 428, 232, 600, 218 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 428, 232, 600, 218 i.e 2.

3. How can I use the GCD of 428, 232, 600, 218Calculator?

Out the numbers 428, 232, 600, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.