GCD of 501, 660, 993, 825 Calculator

Given Input numbers are 501, 660, 993, 825

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (501, 660, 993, 825) = 3.

Given numbers are 501, 660, 993, 825

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 993 are 3 x 331

Prime factors of 825 are 3 x 5 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 501, 660, 993, 825 is 3.

Given numbers are 501, 660, 993, 825

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

Apply this formula for all numbers.

Step1:

LCM(501, 660) = 110220

GCD(501, 660) = ( 501 x 660 ) / 110220

= 501 / 660

= 501

Step2:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

Step3:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

So, Greatest Common Divisor of 501, 660, 993, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 749, 694, 331
• GCD of 459, 645, 102, 883
• GCD of 753, 489, 113, 574
• GCD of 635, 457, 955, 270
• GCD of 855, 170, 744, 436

Given numbers are 501, 660, 993, 825
The greatest common divisor of numbers 501, 660, 993, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 660, 993, 825 is 3.

1. What is the GCD of 501, 660, 993, 825?

GCD of given numbers 501, 660, 993, 825 is 3

2. How to calculate the greatest common divisor of 501, 660, 993, 825?

We can find the highest common divisor of 501, 660, 993, 825 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 501, 660, 993, 825 i.e 3.

3. How can I use the GCD of 501, 660, 993, 825Calculator?

Out the numbers 501, 660, 993, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.