GCD of 525, 117, 624, 390 Calculator

Given Input numbers are 525, 117, 624, 390

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (525, 117, 624, 390) = 3.

Given numbers are 525, 117, 624, 390

The list of prime factors of all numbers are

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 117 are 3 x 3 x 13

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 525, 117, 624, 390 is 3.

Given numbers are 525, 117, 624, 390

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

Apply this formula for all numbers.

Step1:

LCM(525, 117) = 20475

GCD(525, 117) = ( 525 x 117 ) / 20475

= 525 / 117

= 525

Step2:

LCM(3, 624) = 624

GCD(3, 624) = ( 3 x 624 ) / 624

= 3 / 624

= 3

Step3:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

So, Greatest Common Divisor of 525, 117, 624, 390 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 354, 839, 219
• GCD of 203, 415, 364, 266
• GCD of 706, 936, 821, 588
• GCD of 671, 974, 733, 389
• GCD of 275, 876, 448, 975

Given numbers are 525, 117, 624, 390
The greatest common divisor of numbers 525, 117, 624, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 117, 624, 390 is 3.

1. What is the GCD of 525, 117, 624, 390?

GCD of given numbers 525, 117, 624, 390 is 3

2. How to calculate the greatest common divisor of 525, 117, 624, 390?

We can find the highest common divisor of 525, 117, 624, 390 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 525, 117, 624, 390 i.e 3.

3. How can I use the GCD of 525, 117, 624, 390Calculator?

Out the numbers 525, 117, 624, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.