GCD of 470, 738, 102, 504 Calculator

Given Input numbers are 470, 738, 102, 504

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

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

GCD of numbers is the greatest common divisor

So, the GCD (470, 738, 102, 504) = 2.

Given numbers are 470, 738, 102, 504

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 102 are 2 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 470, 738, 102, 504 is 2.

Given numbers are 470, 738, 102, 504

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

Apply this formula for all numbers.

Step1:

LCM(470, 738) = 173430

GCD(470, 738) = ( 470 x 738 ) / 173430

= 470 / 738

= 470

Step2:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 470, 738, 102, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 708, 325, 529
• GCD of 785, 311, 361, 163
• GCD of 195, 573, 348, 437
• GCD of 114, 725, 189, 783
• GCD of 210, 284, 347, 662

Given numbers are 470, 738, 102, 504
The greatest common divisor of numbers 470, 738, 102, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 738, 102, 504 is 2.

1. What is the GCD of 470, 738, 102, 504?

GCD of given numbers 470, 738, 102, 504 is 2

2. How to calculate the greatest common divisor of 470, 738, 102, 504?

We can find the highest common divisor of 470, 738, 102, 504 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 470, 738, 102, 504 i.e 2.

3. How can I use the GCD of 470, 738, 102, 504Calculator?

Out the numbers 470, 738, 102, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.