GCD of 114, 792, 165, 739 Calculator

Given Input numbers are 114, 792, 165, 739

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

Divisors of 114 :

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

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

GCD of numbers is the greatest common divisor

So, the GCD (114, 792, 165, 739) = 1.

Given numbers are 114, 792, 165, 739

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 165 are 3 x 5 x 11

Prime factors of 739 are 739

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

Given numbers are 114, 792, 165, 739

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

Apply this formula for all numbers.

Step1:

LCM(114, 792) = 15048

GCD(114, 792) = ( 114 x 792 ) / 15048

= 114 / 792

= 114

Step2:

LCM(6, 165) = 330

GCD(6, 165) = ( 6 x 165 ) / 330

= 6 / 165

= 6

Step3:

LCM(3, 739) = 2217

GCD(3, 739) = ( 3 x 739 ) / 2217

= 3 / 739

= 3

So, Greatest Common Divisor of 114, 792, 165, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 594, 103, 787
• GCD of 943, 776, 963, 528
• GCD of 321, 633, 493, 650
• GCD of 567, 470, 127, 832
• GCD of 188, 490, 370, 547

Given numbers are 114, 792, 165, 739
The greatest common divisor of numbers 114, 792, 165, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 792, 165, 739 is 1.

1. What is the GCD of 114, 792, 165, 739?

GCD of given numbers 114, 792, 165, 739 is 1

2. How to calculate the greatest common divisor of 114, 792, 165, 739?

We can find the highest common divisor of 114, 792, 165, 739 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 114, 792, 165, 739 i.e 1.

3. How can I use the GCD of 114, 792, 165, 739Calculator?

Out the numbers 114, 792, 165, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.