GCD of 474, 628, 798, 432 Calculator

Given Input numbers are 474, 628, 798, 432

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 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (474, 628, 798, 432) = 2.

Given numbers are 474, 628, 798, 432

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 628 are 2 x 2 x 157

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 474, 628, 798, 432 is 2.

Given numbers are 474, 628, 798, 432

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

Apply this formula for all numbers.

Step1:

LCM(474, 628) = 148836

GCD(474, 628) = ( 474 x 628 ) / 148836

= 474 / 628

= 474

Step2:

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

= 2 / 798

= 2

Step3:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

So, Greatest Common Divisor of 474, 628, 798, 432 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 905, 312, 526
• GCD of 256, 795, 912, 189
• GCD of 757, 542, 367, 668
• GCD of 375, 955, 444, 438
• GCD of 920, 181, 682, 292

Given numbers are 474, 628, 798, 432
The greatest common divisor of numbers 474, 628, 798, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 628, 798, 432 is 2.

1. What is the GCD of 474, 628, 798, 432?

GCD of given numbers 474, 628, 798, 432 is 2

2. How to calculate the greatest common divisor of 474, 628, 798, 432?

We can find the highest common divisor of 474, 628, 798, 432 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, 628, 798, 432 i.e 2.

3. How can I use the GCD of 474, 628, 798, 432Calculator?

Out the numbers 474, 628, 798, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.