GCD of 480, 765, 240, 471 Calculator

Given Input numbers are 480, 765, 240, 471

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

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (480, 765, 240, 471) = 3.

Given numbers are 480, 765, 240, 471

The list of prime factors of all numbers are

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

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 480, 765, 240, 471 is 3.

Given numbers are 480, 765, 240, 471

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

Apply this formula for all numbers.

Step1:

LCM(480, 765) = 24480

GCD(480, 765) = ( 480 x 765 ) / 24480

= 480 / 765

= 480

Step2:

LCM(15, 240) = 240

GCD(15, 240) = ( 15 x 240 ) / 240

= 15 / 240

= 15

Step3:

LCM(15, 471) = 2355

GCD(15, 471) = ( 15 x 471 ) / 2355

= 15 / 471

= 15

So, Greatest Common Divisor of 480, 765, 240, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 692, 664, 574
• GCD of 954, 659, 546, 335
• GCD of 665, 483, 979, 580
• GCD of 342, 789, 389, 219
• GCD of 466, 211, 985, 382

Given numbers are 480, 765, 240, 471
The greatest common divisor of numbers 480, 765, 240, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 765, 240, 471 is 3.

1. What is the GCD of 480, 765, 240, 471?

GCD of given numbers 480, 765, 240, 471 is 3

2. How to calculate the greatest common divisor of 480, 765, 240, 471?

We can find the highest common divisor of 480, 765, 240, 471 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 480, 765, 240, 471 i.e 3.

3. How can I use the GCD of 480, 765, 240, 471Calculator?

Out the numbers 480, 765, 240, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.