GCD of 289, 966, 271, 149 Calculator

Given Input numbers are 289, 966, 271, 149

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (289, 966, 271, 149) = 1.

Given numbers are 289, 966, 271, 149

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 271 are 271

Prime factors of 149 are 149

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

Given numbers are 289, 966, 271, 149

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

Apply this formula for all numbers.

Step1:

LCM(289, 966) = 279174

GCD(289, 966) = ( 289 x 966 ) / 279174

= 289 / 966

= 289

Step2:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1

Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

So, Greatest Common Divisor of 289, 966, 271, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 265, 124, 473
• GCD of 898, 888, 926, 123
• GCD of 552, 516, 737, 787
• GCD of 867, 108, 957, 297
• GCD of 754, 787, 262, 377

Given numbers are 289, 966, 271, 149
The greatest common divisor of numbers 289, 966, 271, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 966, 271, 149 is 1.

1. What is the GCD of 289, 966, 271, 149?

GCD of given numbers 289, 966, 271, 149 is 1

2. How to calculate the greatest common divisor of 289, 966, 271, 149?

We can find the highest common divisor of 289, 966, 271, 149 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, 966, 271, 149 i.e 1.

3. How can I use the GCD of 289, 966, 271, 149Calculator?

Out the numbers 289, 966, 271, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.