GCD of 471, 468, 225, 528 Calculator

Given Input numbers are 471, 468, 225, 528

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

Divisors of 471 :

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

1, 3, 157, 471

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (471, 468, 225, 528) = 3.

Given numbers are 471, 468, 225, 528

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 471, 468, 225, 528 is 3.

Given numbers are 471, 468, 225, 528

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

Apply this formula for all numbers.

Step1:

LCM(471, 468) = 73476

GCD(471, 468) = ( 471 x 468 ) / 73476

= 471 / 468

= 471

Step2:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

Step3:

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

= 3 / 528

= 3

So, Greatest Common Divisor of 471, 468, 225, 528 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 124, 291, 374
• GCD of 599, 937, 216, 407
• GCD of 928, 691, 483, 734
• GCD of 847, 251, 994, 635
• GCD of 851, 210, 586, 148

Given numbers are 471, 468, 225, 528
The greatest common divisor of numbers 471, 468, 225, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 468, 225, 528 is 3.

1. What is the GCD of 471, 468, 225, 528?

GCD of given numbers 471, 468, 225, 528 is 3

2. How to calculate the greatest common divisor of 471, 468, 225, 528?

We can find the highest common divisor of 471, 468, 225, 528 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 471, 468, 225, 528 i.e 3.

3. How can I use the GCD of 471, 468, 225, 528Calculator?

Out the numbers 471, 468, 225, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.