GCD of 428, 504, 468, 716 Calculator

Given Input numbers are 428, 504, 468, 716

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (428, 504, 468, 716) = 4.

Given numbers are 428, 504, 468, 716

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2²

Therefore, GCD of 428, 504, 468, 716 is 4.

Given numbers are 428, 504, 468, 716

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

Apply this formula for all numbers.

Step1:

LCM(428, 504) = 53928

GCD(428, 504) = ( 428 x 504 ) / 53928

= 428 / 504

= 428

Step2:

LCM(4, 468) = 468

GCD(4, 468) = ( 4 x 468 ) / 468

= 4 / 468

= 4

Step3:

LCM(4, 716) = 716

GCD(4, 716) = ( 4 x 716 ) / 716

= 4 / 716

= 4

So, Greatest Common Divisor of 428, 504, 468, 716 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 716, 167, 838
• GCD of 669, 713, 861, 184
• GCD of 581, 646, 856, 858
• GCD of 370, 766, 735, 886
• GCD of 966, 398, 960, 269

Given numbers are 428, 504, 468, 716
The greatest common divisor of numbers 428, 504, 468, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 504, 468, 716 is 4.

1. What is the GCD of 428, 504, 468, 716?

GCD of given numbers 428, 504, 468, 716 is 4

2. How to calculate the greatest common divisor of 428, 504, 468, 716?

We can find the highest common divisor of 428, 504, 468, 716 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 428, 504, 468, 716 i.e 4.

3. How can I use the GCD of 428, 504, 468, 716Calculator?

Out the numbers 428, 504, 468, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.