GCD of 477, 993, 294, 480 Calculator

Given Input numbers are 477, 993, 294, 480

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (477, 993, 294, 480) = 3.

Given numbers are 477, 993, 294, 480

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 993 are 3 x 331

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 477, 993, 294, 480 is 3.

Given numbers are 477, 993, 294, 480

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

Apply this formula for all numbers.

Step1:

LCM(477, 993) = 157887

GCD(477, 993) = ( 477 x 993 ) / 157887

= 477 / 993

= 477

Step2:

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

= 3 / 294

= 3

Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

So, Greatest Common Divisor of 477, 993, 294, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 237, 206, 432
• GCD of 183, 217, 843, 212
• GCD of 388, 683, 683, 750
• GCD of 233, 375, 182, 284
• GCD of 290, 559, 576, 403

Given numbers are 477, 993, 294, 480
The greatest common divisor of numbers 477, 993, 294, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 993, 294, 480 is 3.

1. What is the GCD of 477, 993, 294, 480?

GCD of given numbers 477, 993, 294, 480 is 3

2. How to calculate the greatest common divisor of 477, 993, 294, 480?

We can find the highest common divisor of 477, 993, 294, 480 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 477, 993, 294, 480 i.e 3.

3. How can I use the GCD of 477, 993, 294, 480Calculator?

Out the numbers 477, 993, 294, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.