GCD of 752, 628, 472, 736 Calculator

Given Input numbers are 752, 628, 472, 736

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

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

GCD of numbers is the greatest common divisor

So, the GCD (752, 628, 472, 736) = 4.

Given numbers are 752, 628, 472, 736

The list of prime factors of all numbers are

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2²

Therefore, GCD of 752, 628, 472, 736 is 4.

Given numbers are 752, 628, 472, 736

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

Apply this formula for all numbers.

Step1:

LCM(752, 628) = 118064

GCD(752, 628) = ( 752 x 628 ) / 118064

= 752 / 628

= 752

Step2:

LCM(4, 472) = 472

GCD(4, 472) = ( 4 x 472 ) / 472

= 4 / 472

= 4

Step3:

LCM(4, 736) = 736

GCD(4, 736) = ( 4 x 736 ) / 736

= 4 / 736

= 4

So, Greatest Common Divisor of 752, 628, 472, 736 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 610, 361, 447
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Given numbers are 752, 628, 472, 736
The greatest common divisor of numbers 752, 628, 472, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 628, 472, 736 is 4.

1. What is the GCD of 752, 628, 472, 736?

GCD of given numbers 752, 628, 472, 736 is 4

2. How to calculate the greatest common divisor of 752, 628, 472, 736?

We can find the highest common divisor of 752, 628, 472, 736 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 752, 628, 472, 736 i.e 4.

3. How can I use the GCD of 752, 628, 472, 736Calculator?

Out the numbers 752, 628, 472, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.