GCD of 825, 918, 420, 469 Calculator

Given Input numbers are 825, 918, 420, 469

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (825, 918, 420, 469) = 1.

Given numbers are 825, 918, 420, 469

The list of prime factors of all numbers are

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

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 469 are 7 x 67

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

Given numbers are 825, 918, 420, 469

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

Apply this formula for all numbers.

Step1:

LCM(825, 918) = 252450

GCD(825, 918) = ( 825 x 918 ) / 252450

= 825 / 918

= 825

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 469) = 1407

GCD(3, 469) = ( 3 x 469 ) / 1407

= 3 / 469

= 3

So, Greatest Common Divisor of 825, 918, 420, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 239, 765, 693
• GCD of 567, 559, 835, 198
• GCD of 549, 630, 812, 643
• GCD of 650, 136, 529, 756
• GCD of 756, 837, 398, 674

Given numbers are 825, 918, 420, 469
The greatest common divisor of numbers 825, 918, 420, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 918, 420, 469 is 1.

1. What is the GCD of 825, 918, 420, 469?

GCD of given numbers 825, 918, 420, 469 is 1

2. How to calculate the greatest common divisor of 825, 918, 420, 469?

We can find the highest common divisor of 825, 918, 420, 469 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, 918, 420, 469 i.e 1.

3. How can I use the GCD of 825, 918, 420, 469Calculator?

Out the numbers 825, 918, 420, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.