GCD of 235, 825, 916, 221 Calculator

Given Input numbers are 235, 825, 916, 221

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (235, 825, 916, 221) = 1.

Given numbers are 235, 825, 916, 221

The list of prime factors of all numbers are

Prime factors of 235 are 5 x 47

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

Prime factors of 916 are 2 x 2 x 229

Prime factors of 221 are 13 x 17

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

Given numbers are 235, 825, 916, 221

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

Apply this formula for all numbers.

Step1:

LCM(235, 825) = 38775

GCD(235, 825) = ( 235 x 825 ) / 38775

= 235 / 825

= 235

Step2:

LCM(5, 916) = 4580

GCD(5, 916) = ( 5 x 916 ) / 4580

= 5 / 916

= 5

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 235, 825, 916, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 867, 741, 838
• GCD of 439, 426, 885, 279
• GCD of 904, 932, 572, 184
• GCD of 125, 790, 832, 214
• GCD of 661, 121, 744, 566

Given numbers are 235, 825, 916, 221
The greatest common divisor of numbers 235, 825, 916, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 825, 916, 221 is 1.

1. What is the GCD of 235, 825, 916, 221?

GCD of given numbers 235, 825, 916, 221 is 1

2. How to calculate the greatest common divisor of 235, 825, 916, 221?

We can find the highest common divisor of 235, 825, 916, 221 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 235, 825, 916, 221 i.e 1.

3. How can I use the GCD of 235, 825, 916, 221Calculator?

Out the numbers 235, 825, 916, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.