GCD of 504, 372, 435, 102 Calculator

Given Input numbers are 504, 372, 435, 102

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

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 102 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (504, 372, 435, 102) = 3.

Given numbers are 504, 372, 435, 102

The list of prime factors of all numbers are

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

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 435 are 3 x 5 x 29

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 504, 372, 435, 102 is 3.

Given numbers are 504, 372, 435, 102

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

Apply this formula for all numbers.

Step1:

LCM(504, 372) = 15624

GCD(504, 372) = ( 504 x 372 ) / 15624

= 504 / 372

= 504

Step2:

LCM(12, 435) = 1740

GCD(12, 435) = ( 12 x 435 ) / 1740

= 12 / 435

= 12

Step3:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 504, 372, 435, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 275, 672, 753
• GCD of 285, 844, 674, 932
• GCD of 962, 936, 205, 694
• GCD of 380, 839, 816, 633
• GCD of 345, 684, 328, 623

Given numbers are 504, 372, 435, 102
The greatest common divisor of numbers 504, 372, 435, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 372, 435, 102 is 3.

1. What is the GCD of 504, 372, 435, 102?

GCD of given numbers 504, 372, 435, 102 is 3

2. How to calculate the greatest common divisor of 504, 372, 435, 102?

We can find the highest common divisor of 504, 372, 435, 102 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 504, 372, 435, 102 i.e 3.

3. How can I use the GCD of 504, 372, 435, 102Calculator?

Out the numbers 504, 372, 435, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.