GCD of 361, 705, 897, 229 Calculator

Given Input numbers are 361, 705, 897, 229

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

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 (361, 705, 897, 229) = 1.

Given numbers are 361, 705, 897, 229

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 705 are 3 x 5 x 47

Prime factors of 897 are 3 x 13 x 23

Prime factors of 229 are 229

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

Given numbers are 361, 705, 897, 229

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

Apply this formula for all numbers.

Step1:

LCM(361, 705) = 254505

GCD(361, 705) = ( 361 x 705 ) / 254505

= 361 / 705

= 361

Step2:

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

= 1 / 897

= 1

Step3:

LCM(1, 229) = 229

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

= 1 / 229

= 1

So, Greatest Common Divisor of 361, 705, 897, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 985, 771, 932
• GCD of 991, 313, 781, 480
• GCD of 996, 867, 739, 701
• GCD of 589, 383, 498, 980
• GCD of 774, 513, 391, 879

Given numbers are 361, 705, 897, 229
The greatest common divisor of numbers 361, 705, 897, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 705, 897, 229 is 1.

1. What is the GCD of 361, 705, 897, 229?

GCD of given numbers 361, 705, 897, 229 is 1

2. How to calculate the greatest common divisor of 361, 705, 897, 229?

We can find the highest common divisor of 361, 705, 897, 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 361, 705, 897, 229 i.e 1.

3. How can I use the GCD of 361, 705, 897, 229Calculator?

Out the numbers 361, 705, 897, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.