GCD of 825, 649, 225, 901 Calculator

Given Input numbers are 825, 649, 225, 901

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 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

GCD of numbers is the greatest common divisor

So, the GCD (825, 649, 225, 901) = 1.

Given numbers are 825, 649, 225, 901

The list of prime factors of all numbers are

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

Prime factors of 649 are 11 x 59

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 901 are 17 x 53

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

Given numbers are 825, 649, 225, 901

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

Apply this formula for all numbers.

Step1:

LCM(825, 649) = 48675

GCD(825, 649) = ( 825 x 649 ) / 48675

= 825 / 649

= 825

Step2:

LCM(11, 225) = 2475

GCD(11, 225) = ( 11 x 225 ) / 2475

= 11 / 225

= 11

Step3:

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

= 1 / 901

= 1

So, Greatest Common Divisor of 825, 649, 225, 901 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 628, 974, 746
• GCD of 800, 923, 368, 998
• GCD of 369, 466, 508, 783
• GCD of 432, 729, 745, 547
• GCD of 429, 814, 570, 927

Given numbers are 825, 649, 225, 901
The greatest common divisor of numbers 825, 649, 225, 901 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 649, 225, 901 is 1.

1. What is the GCD of 825, 649, 225, 901?

GCD of given numbers 825, 649, 225, 901 is 1

2. How to calculate the greatest common divisor of 825, 649, 225, 901?

We can find the highest common divisor of 825, 649, 225, 901 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, 649, 225, 901 i.e 1.

3. How can I use the GCD of 825, 649, 225, 901Calculator?

Out the numbers 825, 649, 225, 901 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.