GCD of 289, 136, 64, 342 Calculator

Given Input numbers are 289, 136, 64, 342

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (289, 136, 64, 342) = 1.

Given numbers are 289, 136, 64, 342

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 342 are 2 x 3 x 3 x 19

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

Given numbers are 289, 136, 64, 342

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

Apply this formula for all numbers.

Step1:

LCM(289, 136) = 2312

GCD(289, 136) = ( 289 x 136 ) / 2312

= 289 / 136

= 289

Step2:

LCM(17, 64) = 1088

GCD(17, 64) = ( 17 x 64 ) / 1088

= 17 / 64

= 17

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 289, 136, 64, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 364, 64, 902
• GCD of 665, 890, 43, 580
• GCD of 962, 942, 49, 419
• GCD of 967, 267, 16, 837
• GCD of 692, 976, 18, 293

Given numbers are 289, 136, 64, 342
The greatest common divisor of numbers 289, 136, 64, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 136, 64, 342 is 1.

1. What is the GCD of 289, 136, 64, 342?

GCD of given numbers 289, 136, 64, 342 is 1

2. How to calculate the greatest common divisor of 289, 136, 64, 342?

We can find the highest common divisor of 289, 136, 64, 342 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, 136, 64, 342 i.e 1.

3. How can I use the GCD of 289, 136, 64, 342Calculator?

Out the numbers 289, 136, 64, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.