GCD of 428, 748, 752, 388 Calculator

Given Input numbers are 428, 748, 752, 388

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

GCD of numbers is the greatest common divisor

So, the GCD (428, 748, 752, 388) = 4.

Given numbers are 428, 748, 752, 388

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 388 are 2 x 2 x 97

The highest common occurrence is 2²

Therefore, GCD of 428, 748, 752, 388 is 4.

Given numbers are 428, 748, 752, 388

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

Apply this formula for all numbers.

Step1:

LCM(428, 748) = 80036

GCD(428, 748) = ( 428 x 748 ) / 80036

= 428 / 748

= 428

Step2:

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

= 4 / 752

= 4

Step3:

LCM(4, 388) = 388

GCD(4, 388) = ( 4 x 388 ) / 388

= 4 / 388

= 4

So, Greatest Common Divisor of 428, 748, 752, 388 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 645, 542, 949
• GCD of 301, 276, 488, 325
• GCD of 987, 584, 626, 385
• GCD of 749, 392, 391, 128
• GCD of 225, 227, 995, 626

Given numbers are 428, 748, 752, 388
The greatest common divisor of numbers 428, 748, 752, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 748, 752, 388 is 4.

1. What is the GCD of 428, 748, 752, 388?

GCD of given numbers 428, 748, 752, 388 is 4

2. How to calculate the greatest common divisor of 428, 748, 752, 388?

We can find the highest common divisor of 428, 748, 752, 388 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, 748, 752, 388 i.e 4.

3. How can I use the GCD of 428, 748, 752, 388Calculator?

Out the numbers 428, 748, 752, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.