GCD of 476, 318, 314, 448 Calculator

Given Input numbers are 476, 318, 314, 448

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

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

GCD of numbers is the greatest common divisor

So, the GCD (476, 318, 314, 448) = 2.

Given numbers are 476, 318, 314, 448

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 318 are 2 x 3 x 53

Prime factors of 314 are 2 x 157

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

The highest common occurrence is 2¹

Therefore, GCD of 476, 318, 314, 448 is 2.

Given numbers are 476, 318, 314, 448

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

Apply this formula for all numbers.

Step1:

LCM(476, 318) = 75684

GCD(476, 318) = ( 476 x 318 ) / 75684

= 476 / 318

= 476

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 476, 318, 314, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 105, 496, 368
• GCD of 517, 337, 814, 648
• GCD of 895, 355, 834, 744
• GCD of 659, 500, 325, 703
• GCD of 363, 643, 430, 678

Given numbers are 476, 318, 314, 448
The greatest common divisor of numbers 476, 318, 314, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 318, 314, 448 is 2.

1. What is the GCD of 476, 318, 314, 448?

GCD of given numbers 476, 318, 314, 448 is 2

2. How to calculate the greatest common divisor of 476, 318, 314, 448?

We can find the highest common divisor of 476, 318, 314, 448 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 476, 318, 314, 448 i.e 2.

3. How can I use the GCD of 476, 318, 314, 448Calculator?

Out the numbers 476, 318, 314, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.