GCD of 825, 215, 430, 805 Calculator

Given Input numbers are 825, 215, 430, 805

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 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

GCD of numbers is the greatest common divisor

So, the GCD (825, 215, 430, 805) = 5.

Given numbers are 825, 215, 430, 805

The list of prime factors of all numbers are

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

Prime factors of 215 are 5 x 43

Prime factors of 430 are 2 x 5 x 43

Prime factors of 805 are 5 x 7 x 23

The highest common occurrence is 5¹

Therefore, GCD of 825, 215, 430, 805 is 5.

Given numbers are 825, 215, 430, 805

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

Apply this formula for all numbers.

Step1:

LCM(825, 215) = 35475

GCD(825, 215) = ( 825 x 215 ) / 35475

= 825 / 215

= 825

Step2:

LCM(5, 430) = 430

GCD(5, 430) = ( 5 x 430 ) / 430

= 5 / 430

= 5

Step3:

LCM(5, 805) = 805

GCD(5, 805) = ( 5 x 805 ) / 805

= 5 / 805

= 5

So, Greatest Common Divisor of 825, 215, 430, 805 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 437, 135, 522
• GCD of 572, 583, 702, 571
• GCD of 972, 302, 831, 269
• GCD of 548, 297, 490, 274
• GCD of 211, 677, 138, 848

Given numbers are 825, 215, 430, 805
The greatest common divisor of numbers 825, 215, 430, 805 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 215, 430, 805 is 5.

1. What is the GCD of 825, 215, 430, 805?

GCD of given numbers 825, 215, 430, 805 is 5

2. How to calculate the greatest common divisor of 825, 215, 430, 805?

We can find the highest common divisor of 825, 215, 430, 805 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, 215, 430, 805 i.e 5.

3. How can I use the GCD of 825, 215, 430, 805Calculator?

Out the numbers 825, 215, 430, 805 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.