GCD of 966, 509, 713, 171 Calculator

Given Input numbers are 966, 509, 713, 171

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

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 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (966, 509, 713, 171) = 1.

Given numbers are 966, 509, 713, 171

The list of prime factors of all numbers are

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

Prime factors of 509 are 509

Prime factors of 713 are 23 x 31

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 966, 509, 713, 171

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

Apply this formula for all numbers.

Step1:

LCM(966, 509) = 491694

GCD(966, 509) = ( 966 x 509 ) / 491694

= 966 / 509

= 966

Step2:

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

= 1 / 713

= 1

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 966, 509, 713, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 226, 862, 364
• GCD of 784, 310, 467, 548
• GCD of 721, 612, 611, 750
• GCD of 212, 715, 963, 587
• GCD of 869, 263, 952, 446

Given numbers are 966, 509, 713, 171
The greatest common divisor of numbers 966, 509, 713, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 509, 713, 171 is 1.

1. What is the GCD of 966, 509, 713, 171?

GCD of given numbers 966, 509, 713, 171 is 1

2. How to calculate the greatest common divisor of 966, 509, 713, 171?

We can find the highest common divisor of 966, 509, 713, 171 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 966, 509, 713, 171 i.e 1.

3. How can I use the GCD of 966, 509, 713, 171Calculator?

Out the numbers 966, 509, 713, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.