GCD of 474, 732, 756, 788 Calculator

Given Input numbers are 474, 732, 756, 788

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 788 :

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

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (474, 732, 756, 788) = 2.

Given numbers are 474, 732, 756, 788

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 474, 732, 756, 788 is 2.

Given numbers are 474, 732, 756, 788

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

Apply this formula for all numbers.

Step1:

LCM(474, 732) = 57828

GCD(474, 732) = ( 474 x 732 ) / 57828

= 474 / 732

= 474

Step2:

LCM(6, 756) = 756

GCD(6, 756) = ( 6 x 756 ) / 756

= 6 / 756

= 6

Step3:

LCM(6, 788) = 2364

GCD(6, 788) = ( 6 x 788 ) / 2364

= 6 / 788

= 6

So, Greatest Common Divisor of 474, 732, 756, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 304, 826, 867
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Given numbers are 474, 732, 756, 788
The greatest common divisor of numbers 474, 732, 756, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 732, 756, 788 is 2.

1. What is the GCD of 474, 732, 756, 788?

GCD of given numbers 474, 732, 756, 788 is 2

2. How to calculate the greatest common divisor of 474, 732, 756, 788?

We can find the highest common divisor of 474, 732, 756, 788 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 474, 732, 756, 788 i.e 2.

3. How can I use the GCD of 474, 732, 756, 788Calculator?

Out the numbers 474, 732, 756, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.