GCD of 472, 788, 828, 320 Calculator

Given Input numbers are 472, 788, 828, 320

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

Divisors of 472 :

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

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (472, 788, 828, 320) = 4.

Given numbers are 472, 788, 828, 320

The list of prime factors of all numbers are

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

Prime factors of 788 are 2 x 2 x 197

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2²

Therefore, GCD of 472, 788, 828, 320 is 4.

Given numbers are 472, 788, 828, 320

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

Apply this formula for all numbers.

Step1:

LCM(472, 788) = 92984

GCD(472, 788) = ( 472 x 788 ) / 92984

= 472 / 788

= 472

Step2:

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

= 4 / 828

= 4

Step3:

LCM(4, 320) = 320

GCD(4, 320) = ( 4 x 320 ) / 320

= 4 / 320

= 4

So, Greatest Common Divisor of 472, 788, 828, 320 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 757, 552, 171
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• GCD of 735, 398, 612, 510
• GCD of 662, 510, 432, 882

Given numbers are 472, 788, 828, 320
The greatest common divisor of numbers 472, 788, 828, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 788, 828, 320 is 4.

1. What is the GCD of 472, 788, 828, 320?

GCD of given numbers 472, 788, 828, 320 is 4

2. How to calculate the greatest common divisor of 472, 788, 828, 320?

We can find the highest common divisor of 472, 788, 828, 320 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 472, 788, 828, 320 i.e 4.

3. How can I use the GCD of 472, 788, 828, 320Calculator?

Out the numbers 472, 788, 828, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.