GCD of 966, 129, 456, 343 Calculator

Given Input numbers are 966, 129, 456, 343

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 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (966, 129, 456, 343) = 1.

Given numbers are 966, 129, 456, 343

The list of prime factors of all numbers are

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

Prime factors of 129 are 3 x 43

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 966, 129, 456, 343

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

Apply this formula for all numbers.

Step1:

LCM(966, 129) = 41538

GCD(966, 129) = ( 966 x 129 ) / 41538

= 966 / 129

= 966

Step2:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

Step3:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

So, Greatest Common Divisor of 966, 129, 456, 343 is 1

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• GCD of 428, 119, 814, 268
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Given numbers are 966, 129, 456, 343
The greatest common divisor of numbers 966, 129, 456, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 129, 456, 343 is 1.

1. What is the GCD of 966, 129, 456, 343?

GCD of given numbers 966, 129, 456, 343 is 1

2. How to calculate the greatest common divisor of 966, 129, 456, 343?

We can find the highest common divisor of 966, 129, 456, 343 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, 129, 456, 343 i.e 1.

3. How can I use the GCD of 966, 129, 456, 343Calculator?

Out the numbers 966, 129, 456, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.