GCD of 470, 956, 628, 474 Calculator

Given Input numbers are 470, 956, 628, 474

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 474 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (470, 956, 628, 474) = 2.

Given numbers are 470, 956, 628, 474

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 956 are 2 x 2 x 239

Prime factors of 628 are 2 x 2 x 157

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 470, 956, 628, 474 is 2.

Given numbers are 470, 956, 628, 474

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

Apply this formula for all numbers.

Step1:

LCM(470, 956) = 224660

GCD(470, 956) = ( 470 x 956 ) / 224660

= 470 / 956

= 470

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

So, Greatest Common Divisor of 470, 956, 628, 474 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 339, 900, 554
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• GCD of 407, 995, 284, 240

Given numbers are 470, 956, 628, 474
The greatest common divisor of numbers 470, 956, 628, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 956, 628, 474 is 2.

1. What is the GCD of 470, 956, 628, 474?

GCD of given numbers 470, 956, 628, 474 is 2

2. How to calculate the greatest common divisor of 470, 956, 628, 474?

We can find the highest common divisor of 470, 956, 628, 474 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 470, 956, 628, 474 i.e 2.

3. How can I use the GCD of 470, 956, 628, 474Calculator?

Out the numbers 470, 956, 628, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.