GCD of 474, 654, 360, 285 Calculator

Given Input numbers are 474, 654, 360, 285

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

GCD of numbers is the greatest common divisor

So, the GCD (474, 654, 360, 285) = 3.

Given numbers are 474, 654, 360, 285

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 654 are 2 x 3 x 109

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 285 are 3 x 5 x 19

The highest common occurrence is 3¹

Therefore, GCD of 474, 654, 360, 285 is 3.

Given numbers are 474, 654, 360, 285

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

Apply this formula for all numbers.

Step1:

LCM(474, 654) = 51666

GCD(474, 654) = ( 474 x 654 ) / 51666

= 474 / 654

= 474

Step2:

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

= 6 / 360

= 6

Step3:

LCM(6, 285) = 570

GCD(6, 285) = ( 6 x 285 ) / 570

= 6 / 285

= 6

So, Greatest Common Divisor of 474, 654, 360, 285 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 165, 197, 911
• GCD of 410, 268, 534, 418
• GCD of 835, 652, 533, 823
• GCD of 703, 852, 944, 236
• GCD of 459, 818, 792, 953

Given numbers are 474, 654, 360, 285
The greatest common divisor of numbers 474, 654, 360, 285 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 654, 360, 285 is 3.

1. What is the GCD of 474, 654, 360, 285?

GCD of given numbers 474, 654, 360, 285 is 3

2. How to calculate the greatest common divisor of 474, 654, 360, 285?

We can find the highest common divisor of 474, 654, 360, 285 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, 654, 360, 285 i.e 3.

3. How can I use the GCD of 474, 654, 360, 285Calculator?

Out the numbers 474, 654, 360, 285 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.