GCD of 471, 909, 252 Calculator

Given Input numbers are 471, 909, 252

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (471, 909, 252) = 3.

Given numbers are 471, 909, 252

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 909 are 3 x 3 x 101

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 471, 909, 252 is 3.

Given numbers are 471, 909, 252

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

Apply this formula for all numbers.

Step1:

LCM(471, 909) = 142713

GCD(471, 909) = ( 471 x 909 ) / 142713

= 471 / 909

= 471

Step2:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

So, Greatest Common Divisor of 471, 909, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 126, 217
• GCD of 168, 593, 801
• GCD of 971, 741, 642
• GCD of 394, 641, 934
• GCD of 703, 471, 460

Given numbers are 471, 909, 252
The greatest common divisor of numbers 471, 909, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 909, 252 is 3.

1. What is the GCD of 471, 909, 252?

GCD of given numbers 471, 909, 252 is 3

2. How to calculate the greatest common divisor of 471, 909, 252?

We can find the highest common divisor of 471, 909, 252 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, 909, 252 i.e 3.

3. How can I use the GCD of 471, 909, 252Calculator?

Out the numbers 471, 909, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.