GCD of 289, 268, 346, 365 Calculator

Given Input numbers are 289, 268, 346, 365

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

Divisors of 289 :

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

1, 17, 289

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

GCD of numbers is the greatest common divisor

So, the GCD (289, 268, 346, 365) = 1.

Given numbers are 289, 268, 346, 365

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 268 are 2 x 2 x 67

Prime factors of 346 are 2 x 173

Prime factors of 365 are 5 x 73

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

Given numbers are 289, 268, 346, 365

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

Apply this formula for all numbers.

Step1:

LCM(289, 268) = 77452

GCD(289, 268) = ( 289 x 268 ) / 77452

= 289 / 268

= 289

Step2:

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

= 1 / 346

= 1

Step3:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1

So, Greatest Common Divisor of 289, 268, 346, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 505, 442, 734
• GCD of 571, 883, 383, 138
• GCD of 426, 687, 737, 281
• GCD of 885, 685, 655, 326
• GCD of 645, 347, 571, 218

Given numbers are 289, 268, 346, 365
The greatest common divisor of numbers 289, 268, 346, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 268, 346, 365 is 1.

1. What is the GCD of 289, 268, 346, 365?

GCD of given numbers 289, 268, 346, 365 is 1

2. How to calculate the greatest common divisor of 289, 268, 346, 365?

We can find the highest common divisor of 289, 268, 346, 365 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 289, 268, 346, 365 i.e 1.

3. How can I use the GCD of 289, 268, 346, 365Calculator?

Out the numbers 289, 268, 346, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.