GCD of 825, 669, 834, 720 Calculator

Given Input numbers are 825, 669, 834, 720

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

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (825, 669, 834, 720) = 3.

Given numbers are 825, 669, 834, 720

The list of prime factors of all numbers are

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

Prime factors of 669 are 3 x 223

Prime factors of 834 are 2 x 3 x 139

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 825, 669, 834, 720 is 3.

Given numbers are 825, 669, 834, 720

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

Apply this formula for all numbers.

Step1:

LCM(825, 669) = 183975

GCD(825, 669) = ( 825 x 669 ) / 183975

= 825 / 669

= 825

Step2:

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

= 3 / 834

= 3

Step3:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

So, Greatest Common Divisor of 825, 669, 834, 720 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 810, 672, 771
• GCD of 671, 999, 551, 242
• GCD of 913, 901, 796, 996
• GCD of 267, 519, 802, 330
• GCD of 184, 884, 695, 961

Given numbers are 825, 669, 834, 720
The greatest common divisor of numbers 825, 669, 834, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 669, 834, 720 is 3.

1. What is the GCD of 825, 669, 834, 720?

GCD of given numbers 825, 669, 834, 720 is 3

2. How to calculate the greatest common divisor of 825, 669, 834, 720?

We can find the highest common divisor of 825, 669, 834, 720 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 825, 669, 834, 720 i.e 3.

3. How can I use the GCD of 825, 669, 834, 720Calculator?

Out the numbers 825, 669, 834, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.