GCD of 476, 918, 494, 460 Calculator

Given Input numbers are 476, 918, 494, 460

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 494 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (476, 918, 494, 460) = 2.

Given numbers are 476, 918, 494, 460

The list of prime factors of all numbers are

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

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 494 are 2 x 13 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 476, 918, 494, 460 is 2.

Given numbers are 476, 918, 494, 460

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

Apply this formula for all numbers.

Step1:

LCM(476, 918) = 12852

GCD(476, 918) = ( 476 x 918 ) / 12852

= 476 / 918

= 476

Step2:

LCM(34, 494) = 8398

GCD(34, 494) = ( 34 x 494 ) / 8398

= 34 / 494

= 34

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 476, 918, 494, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 431, 256, 274
• GCD of 693, 860, 827, 850
• GCD of 587, 531, 678, 286
• GCD of 757, 263, 664, 626
• GCD of 498, 935, 875, 869

Given numbers are 476, 918, 494, 460
The greatest common divisor of numbers 476, 918, 494, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 918, 494, 460 is 2.

1. What is the GCD of 476, 918, 494, 460?

GCD of given numbers 476, 918, 494, 460 is 2

2. How to calculate the greatest common divisor of 476, 918, 494, 460?

We can find the highest common divisor of 476, 918, 494, 460 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, 918, 494, 460 i.e 2.

3. How can I use the GCD of 476, 918, 494, 460Calculator?

Out the numbers 476, 918, 494, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.