GCD of 945, 966, 784, 841 Calculator

Given Input numbers are 945, 966, 784, 841

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841

GCD of numbers is the greatest common divisor

So, the GCD (945, 966, 784, 841) = 1.

Given numbers are 945, 966, 784, 841

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 841 are 29 x 29

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

Given numbers are 945, 966, 784, 841

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

Apply this formula for all numbers.

Step1:

LCM(945, 966) = 43470

GCD(945, 966) = ( 945 x 966 ) / 43470

= 945 / 966

= 945

Step2:

LCM(21, 784) = 2352

GCD(21, 784) = ( 21 x 784 ) / 2352

= 21 / 784

= 21

Step3:

LCM(7, 841) = 5887

GCD(7, 841) = ( 7 x 841 ) / 5887

= 7 / 841

= 7

So, Greatest Common Divisor of 945, 966, 784, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 105, 942, 116
• GCD of 794, 891, 886, 533
• GCD of 460, 244, 331, 425
• GCD of 875, 832, 501, 904
• GCD of 225, 364, 330, 670

Given numbers are 945, 966, 784, 841
The greatest common divisor of numbers 945, 966, 784, 841 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 966, 784, 841 is 1.

1. What is the GCD of 945, 966, 784, 841?

GCD of given numbers 945, 966, 784, 841 is 1

2. How to calculate the greatest common divisor of 945, 966, 784, 841?

We can find the highest common divisor of 945, 966, 784, 841 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 945, 966, 784, 841 i.e 1.

3. How can I use the GCD of 945, 966, 784, 841Calculator?

Out the numbers 945, 966, 784, 841 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.