GCD of 495, 205, 350, 825 Calculator

Given Input numbers are 495, 205, 350, 825

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 (495, 205, 350, 825) = 5.

Given numbers are 495, 205, 350, 825

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 205 are 5 x 41

Prime factors of 350 are 2 x 5 x 5 x 7

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

The highest common occurrence is 5¹

Therefore, GCD of 495, 205, 350, 825 is 5.

Given numbers are 495, 205, 350, 825

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

Apply this formula for all numbers.

Step1:

LCM(495, 205) = 20295

GCD(495, 205) = ( 495 x 205 ) / 20295

= 495 / 205

= 495

Step2:

LCM(5, 350) = 350

GCD(5, 350) = ( 5 x 350 ) / 350

= 5 / 350

= 5

Step3:

LCM(5, 825) = 825

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

= 5 / 825

= 5

So, Greatest Common Divisor of 495, 205, 350, 825 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 596, 414, 463
• GCD of 138, 619, 172, 184
• GCD of 799, 509, 763, 389
• GCD of 667, 333, 486, 933
• GCD of 989, 818, 318, 703

Given numbers are 495, 205, 350, 825
The greatest common divisor of numbers 495, 205, 350, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 205, 350, 825 is 5.

1. What is the GCD of 495, 205, 350, 825?

GCD of given numbers 495, 205, 350, 825 is 5

2. How to calculate the greatest common divisor of 495, 205, 350, 825?

We can find the highest common divisor of 495, 205, 350, 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 495, 205, 350, 825 i.e 5.

3. How can I use the GCD of 495, 205, 350, 825Calculator?

Out the numbers 495, 205, 350, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.