GCD of 747, 327, 442, 114 Calculator

Given Input numbers are 747, 327, 442, 114

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (747, 327, 442, 114) = 1.

Given numbers are 747, 327, 442, 114

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 327 are 3 x 109

Prime factors of 442 are 2 x 13 x 17

Prime factors of 114 are 2 x 3 x 19

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

Given numbers are 747, 327, 442, 114

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

Apply this formula for all numbers.

Step1:

LCM(747, 327) = 81423

GCD(747, 327) = ( 747 x 327 ) / 81423

= 747 / 327

= 747

Step2:

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

= 3 / 442

= 3

Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 747, 327, 442, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 467, 352, 131
• GCD of 859, 933, 556, 835
• GCD of 403, 331, 367, 869
• GCD of 689, 870, 467, 768
• GCD of 194, 849, 317, 565

Given numbers are 747, 327, 442, 114
The greatest common divisor of numbers 747, 327, 442, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 327, 442, 114 is 1.

1. What is the GCD of 747, 327, 442, 114?

GCD of given numbers 747, 327, 442, 114 is 1

2. How to calculate the greatest common divisor of 747, 327, 442, 114?

We can find the highest common divisor of 747, 327, 442, 114 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 747, 327, 442, 114 i.e 1.

3. How can I use the GCD of 747, 327, 442, 114Calculator?

Out the numbers 747, 327, 442, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.