GCD of 856, 460, 38, 472 Calculator

Given Input numbers are 856, 460, 38, 472

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 472 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (856, 460, 38, 472) = 2.

Given numbers are 856, 460, 38, 472

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 38 are 2 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 856, 460, 38, 472 is 2.

Given numbers are 856, 460, 38, 472

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

Apply this formula for all numbers.

Step1:

LCM(856, 460) = 98440

GCD(856, 460) = ( 856 x 460 ) / 98440

= 856 / 460

= 856

Step2:

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

= 4 / 38

= 4

Step3:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

So, Greatest Common Divisor of 856, 460, 38, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 357, 22, 443
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• GCD of 884, 273, 85, 325
• GCD of 559, 311, 75, 653
• GCD of 586, 738, 24, 897

Given numbers are 856, 460, 38, 472
The greatest common divisor of numbers 856, 460, 38, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 460, 38, 472 is 2.

1. What is the GCD of 856, 460, 38, 472?

GCD of given numbers 856, 460, 38, 472 is 2

2. How to calculate the greatest common divisor of 856, 460, 38, 472?

We can find the highest common divisor of 856, 460, 38, 472 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 856, 460, 38, 472 i.e 2.

3. How can I use the GCD of 856, 460, 38, 472Calculator?

Out the numbers 856, 460, 38, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.