GCD of 478, 298, 704, 466 Calculator

Given Input numbers are 478, 298, 704, 466

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

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (478, 298, 704, 466) = 2.

Given numbers are 478, 298, 704, 466

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 298 are 2 x 149

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 478, 298, 704, 466 is 2.

Given numbers are 478, 298, 704, 466

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

Apply this formula for all numbers.

Step1:

LCM(478, 298) = 71222

GCD(478, 298) = ( 478 x 298 ) / 71222

= 478 / 298

= 478

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 478, 298, 704, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 396, 592, 154
• GCD of 599, 861, 155, 527
• GCD of 144, 734, 263, 569
• GCD of 872, 452, 522, 666
• GCD of 673, 162, 112, 638

Given numbers are 478, 298, 704, 466
The greatest common divisor of numbers 478, 298, 704, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 298, 704, 466 is 2.

1. What is the GCD of 478, 298, 704, 466?

GCD of given numbers 478, 298, 704, 466 is 2

2. How to calculate the greatest common divisor of 478, 298, 704, 466?

We can find the highest common divisor of 478, 298, 704, 466 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 478, 298, 704, 466 i.e 2.

3. How can I use the GCD of 478, 298, 704, 466Calculator?

Out the numbers 478, 298, 704, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.