GCD of 470, 448, 494, 316 Calculator

Given Input numbers are 470, 448, 494, 316

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (470, 448, 494, 316) = 2.

Given numbers are 470, 448, 494, 316

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 494 are 2 x 13 x 19

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 470, 448, 494, 316 is 2.

Given numbers are 470, 448, 494, 316

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

Apply this formula for all numbers.

Step1:

LCM(470, 448) = 105280

GCD(470, 448) = ( 470 x 448 ) / 105280

= 470 / 448

= 470

Step2:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

Step3:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

So, Greatest Common Divisor of 470, 448, 494, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 762, 947, 892
• GCD of 860, 878, 840, 851
• GCD of 468, 519, 199, 746
• GCD of 711, 474, 708, 223
• GCD of 727, 950, 384, 525

Given numbers are 470, 448, 494, 316
The greatest common divisor of numbers 470, 448, 494, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 448, 494, 316 is 2.

1. What is the GCD of 470, 448, 494, 316?

GCD of given numbers 470, 448, 494, 316 is 2

2. How to calculate the greatest common divisor of 470, 448, 494, 316?

We can find the highest common divisor of 470, 448, 494, 316 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, 448, 494, 316 i.e 2.

3. How can I use the GCD of 470, 448, 494, 316Calculator?

Out the numbers 470, 448, 494, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.