GCD of 261, 360, 223, 825 Calculator

Given Input numbers are 261, 360, 223, 825

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

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 (261, 360, 223, 825) = 1.

Given numbers are 261, 360, 223, 825

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 223 are 223

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

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

Given numbers are 261, 360, 223, 825

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

Apply this formula for all numbers.

Step1:

LCM(261, 360) = 10440

GCD(261, 360) = ( 261 x 360 ) / 10440

= 261 / 360

= 261

Step2:

LCM(9, 223) = 2007

GCD(9, 223) = ( 9 x 223 ) / 2007

= 9 / 223

= 9

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 261, 360, 223, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 584, 821, 440
• GCD of 918, 590, 356, 282
• GCD of 132, 969, 939, 484
• GCD of 681, 862, 292, 537
• GCD of 307, 778, 575, 451

Given numbers are 261, 360, 223, 825
The greatest common divisor of numbers 261, 360, 223, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 360, 223, 825 is 1.

1. What is the GCD of 261, 360, 223, 825?

GCD of given numbers 261, 360, 223, 825 is 1

2. How to calculate the greatest common divisor of 261, 360, 223, 825?

We can find the highest common divisor of 261, 360, 223, 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 261, 360, 223, 825 i.e 1.

3. How can I use the GCD of 261, 360, 223, 825Calculator?

Out the numbers 261, 360, 223, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.