GCD of 825, 212, 209, 496 Calculator

Given Input numbers are 825, 212, 209, 496

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 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (825, 212, 209, 496) = 1.

Given numbers are 825, 212, 209, 496

The list of prime factors of all numbers are

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

Prime factors of 212 are 2 x 2 x 53

Prime factors of 209 are 11 x 19

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 825, 212, 209, 496

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

Apply this formula for all numbers.

Step1:

LCM(825, 212) = 174900

GCD(825, 212) = ( 825 x 212 ) / 174900

= 825 / 212

= 825

Step2:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 825, 212, 209, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 457, 309, 634
• GCD of 410, 821, 111, 484
• GCD of 535, 394, 896, 886
• GCD of 504, 896, 323, 461
• GCD of 492, 248, 603, 430

Given numbers are 825, 212, 209, 496
The greatest common divisor of numbers 825, 212, 209, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 212, 209, 496 is 1.

1. What is the GCD of 825, 212, 209, 496?

GCD of given numbers 825, 212, 209, 496 is 1

2. How to calculate the greatest common divisor of 825, 212, 209, 496?

We can find the highest common divisor of 825, 212, 209, 496 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, 212, 209, 496 i.e 1.

3. How can I use the GCD of 825, 212, 209, 496Calculator?

Out the numbers 825, 212, 209, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.