GCD of 474, 384, 686, 178 Calculator

Given Input numbers are 474, 384, 686, 178

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (474, 384, 686, 178) = 2.

Given numbers are 474, 384, 686, 178

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 474, 384, 686, 178 is 2.

Given numbers are 474, 384, 686, 178

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

Apply this formula for all numbers.

Step1:

LCM(474, 384) = 30336

GCD(474, 384) = ( 474 x 384 ) / 30336

= 474 / 384

= 474

Step2:

LCM(6, 686) = 2058

GCD(6, 686) = ( 6 x 686 ) / 2058

= 6 / 686

= 6

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 474, 384, 686, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 123, 609, 637
• GCD of 359, 695, 968, 600
• GCD of 566, 366, 762, 375
• GCD of 370, 399, 920, 993
• GCD of 731, 517, 434, 439

Given numbers are 474, 384, 686, 178
The greatest common divisor of numbers 474, 384, 686, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 384, 686, 178 is 2.

1. What is the GCD of 474, 384, 686, 178?

GCD of given numbers 474, 384, 686, 178 is 2

2. How to calculate the greatest common divisor of 474, 384, 686, 178?

We can find the highest common divisor of 474, 384, 686, 178 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 474, 384, 686, 178 i.e 2.

3. How can I use the GCD of 474, 384, 686, 178Calculator?

Out the numbers 474, 384, 686, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.