GCD of 640, 720, 675, 825 Calculator

Given Input numbers are 640, 720, 675, 825

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

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 (640, 720, 675, 825) = 5.

Given numbers are 640, 720, 675, 825

The list of prime factors of all numbers are

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 640, 720, 675, 825 is 5.

Given numbers are 640, 720, 675, 825

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

Apply this formula for all numbers.

Step1:

LCM(640, 720) = 5760

GCD(640, 720) = ( 640 x 720 ) / 5760

= 640 / 720

= 640

Step2:

LCM(80, 675) = 10800

GCD(80, 675) = ( 80 x 675 ) / 10800

= 80 / 675

= 80

Step3:

LCM(5, 825) = 825

GCD(5, 825) = ( 5 x 825 ) / 825

= 5 / 825

= 5

So, Greatest Common Divisor of 640, 720, 675, 825 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 942, 371, 601
• GCD of 925, 115, 257, 336
• GCD of 971, 842, 756, 987
• GCD of 717, 355, 478, 685
• GCD of 601, 445, 382, 314

Given numbers are 640, 720, 675, 825
The greatest common divisor of numbers 640, 720, 675, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 640, 720, 675, 825 is 5.

1. What is the GCD of 640, 720, 675, 825?

GCD of given numbers 640, 720, 675, 825 is 5

2. How to calculate the greatest common divisor of 640, 720, 675, 825?

We can find the highest common divisor of 640, 720, 675, 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 640, 720, 675, 825 i.e 5.

3. How can I use the GCD of 640, 720, 675, 825Calculator?

Out the numbers 640, 720, 675, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.