GCD of 825, 730, 114, 228 Calculator

Given Input numbers are 825, 730, 114, 228

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 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (825, 730, 114, 228) = 1.

Given numbers are 825, 730, 114, 228

The list of prime factors of all numbers are

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

Prime factors of 730 are 2 x 5 x 73

Prime factors of 114 are 2 x 3 x 19

Prime factors of 228 are 2 x 2 x 3 x 19

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

Given numbers are 825, 730, 114, 228

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

Apply this formula for all numbers.

Step1:

LCM(825, 730) = 120450

GCD(825, 730) = ( 825 x 730 ) / 120450

= 825 / 730

= 825

Step2:

LCM(5, 114) = 570

GCD(5, 114) = ( 5 x 114 ) / 570

= 5 / 114

= 5

Step3:

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

= 1 / 228

= 1

So, Greatest Common Divisor of 825, 730, 114, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 124, 289, 187
• GCD of 702, 218, 584, 612
• GCD of 310, 437, 786, 253
• GCD of 669, 260, 526, 937
• GCD of 121, 560, 252, 593

Given numbers are 825, 730, 114, 228
The greatest common divisor of numbers 825, 730, 114, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 730, 114, 228 is 1.

1. What is the GCD of 825, 730, 114, 228?

GCD of given numbers 825, 730, 114, 228 is 1

2. How to calculate the greatest common divisor of 825, 730, 114, 228?

We can find the highest common divisor of 825, 730, 114, 228 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, 730, 114, 228 i.e 1.

3. How can I use the GCD of 825, 730, 114, 228Calculator?

Out the numbers 825, 730, 114, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.