GCD of 735, 231, 289, 229 Calculator

Given Input numbers are 735, 231, 289, 229

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

GCD of numbers is the greatest common divisor

So, the GCD (735, 231, 289, 229) = 1.

Given numbers are 735, 231, 289, 229

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 231 are 3 x 7 x 11

Prime factors of 289 are 17 x 17

Prime factors of 229 are 229

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

Given numbers are 735, 231, 289, 229

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

Apply this formula for all numbers.

Step1:

LCM(735, 231) = 8085

GCD(735, 231) = ( 735 x 231 ) / 8085

= 735 / 231

= 735

Step2:

LCM(21, 289) = 6069

GCD(21, 289) = ( 21 x 289 ) / 6069

= 21 / 289

= 21

Step3:

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

= 1 / 229

= 1

So, Greatest Common Divisor of 735, 231, 289, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 414, 989, 103
• GCD of 640, 611, 917, 143
• GCD of 706, 702, 453, 230
• GCD of 415, 913, 653, 503
• GCD of 949, 645, 324, 453

Given numbers are 735, 231, 289, 229
The greatest common divisor of numbers 735, 231, 289, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 231, 289, 229 is 1.

1. What is the GCD of 735, 231, 289, 229?

GCD of given numbers 735, 231, 289, 229 is 1

2. How to calculate the greatest common divisor of 735, 231, 289, 229?

We can find the highest common divisor of 735, 231, 289, 229 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 735, 231, 289, 229 i.e 1.

3. How can I use the GCD of 735, 231, 289, 229Calculator?

Out the numbers 735, 231, 289, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.