GCD of 849, 704, 284, 966 Calculator

Given Input numbers are 849, 704, 284, 966

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

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

GCD of numbers is the greatest common divisor

So, the GCD (849, 704, 284, 966) = 1.

Given numbers are 849, 704, 284, 966

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 284 are 2 x 2 x 71

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

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

Given numbers are 849, 704, 284, 966

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

Apply this formula for all numbers.

Step1:

LCM(849, 704) = 597696

GCD(849, 704) = ( 849 x 704 ) / 597696

= 849 / 704

= 849

Step2:

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

= 1 / 284

= 1

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 849, 704, 284, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 336, 799, 624
• GCD of 452, 260, 726, 516
• GCD of 670, 554, 535, 325
• GCD of 816, 469, 739, 574
• GCD of 454, 221, 314, 240

Given numbers are 849, 704, 284, 966
The greatest common divisor of numbers 849, 704, 284, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 704, 284, 966 is 1.

1. What is the GCD of 849, 704, 284, 966?

GCD of given numbers 849, 704, 284, 966 is 1

2. How to calculate the greatest common divisor of 849, 704, 284, 966?

We can find the highest common divisor of 849, 704, 284, 966 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 849, 704, 284, 966 i.e 1.

3. How can I use the GCD of 849, 704, 284, 966Calculator?

Out the numbers 849, 704, 284, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.