GCD of 428, 400, 602, 318 Calculator

Given Input numbers are 428, 400, 602, 318

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (428, 400, 602, 318) = 2.

Given numbers are 428, 400, 602, 318

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 602 are 2 x 7 x 43

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 428, 400, 602, 318 is 2.

Given numbers are 428, 400, 602, 318

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

Apply this formula for all numbers.

Step1:

LCM(428, 400) = 42800

GCD(428, 400) = ( 428 x 400 ) / 42800

= 428 / 400

= 428

Step2:

LCM(4, 602) = 1204

GCD(4, 602) = ( 4 x 602 ) / 1204

= 4 / 602

= 4

Step3:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

So, Greatest Common Divisor of 428, 400, 602, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 933, 117, 105
• GCD of 989, 421, 599, 791
• GCD of 637, 838, 412, 565
• GCD of 118, 721, 634, 934
• GCD of 142, 894, 804, 700

Given numbers are 428, 400, 602, 318
The greatest common divisor of numbers 428, 400, 602, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 400, 602, 318 is 2.

1. What is the GCD of 428, 400, 602, 318?

GCD of given numbers 428, 400, 602, 318 is 2

2. How to calculate the greatest common divisor of 428, 400, 602, 318?

We can find the highest common divisor of 428, 400, 602, 318 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, 400, 602, 318 i.e 2.

3. How can I use the GCD of 428, 400, 602, 318Calculator?

Out the numbers 428, 400, 602, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.