GCD of 468, 606, 504, 753 Calculator

Given Input numbers are 468, 606, 504, 753

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

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 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

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 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

GCD of numbers is the greatest common divisor

So, the GCD (468, 606, 504, 753) = 3.

Given numbers are 468, 606, 504, 753

The list of prime factors of all numbers are

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

Prime factors of 606 are 2 x 3 x 101

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

Prime factors of 753 are 3 x 251

The highest common occurrence is 3¹

Therefore, GCD of 468, 606, 504, 753 is 3.

Given numbers are 468, 606, 504, 753

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

Apply this formula for all numbers.

Step1:

LCM(468, 606) = 47268

GCD(468, 606) = ( 468 x 606 ) / 47268

= 468 / 606

= 468

Step2:

LCM(6, 504) = 504

GCD(6, 504) = ( 6 x 504 ) / 504

= 6 / 504

= 6

Step3:

LCM(6, 753) = 1506

GCD(6, 753) = ( 6 x 753 ) / 1506

= 6 / 753

= 6

So, Greatest Common Divisor of 468, 606, 504, 753 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 980, 954, 362
• GCD of 884, 446, 594, 962
• GCD of 828, 624, 952, 784
• GCD of 453, 224, 106, 197
• GCD of 709, 696, 323, 769

Given numbers are 468, 606, 504, 753
The greatest common divisor of numbers 468, 606, 504, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 606, 504, 753 is 3.

1. What is the GCD of 468, 606, 504, 753?

GCD of given numbers 468, 606, 504, 753 is 3

2. How to calculate the greatest common divisor of 468, 606, 504, 753?

We can find the highest common divisor of 468, 606, 504, 753 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 468, 606, 504, 753 i.e 3.

3. How can I use the GCD of 468, 606, 504, 753Calculator?

Out the numbers 468, 606, 504, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.