GCD of 120, 717, 829, 716 Calculator

Given Input numbers are 120, 717, 829, 716

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (120, 717, 829, 716) = 1.

Given numbers are 120, 717, 829, 716

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 717 are 3 x 239

Prime factors of 829 are 829

Prime factors of 716 are 2 x 2 x 179

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

Given numbers are 120, 717, 829, 716

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

Apply this formula for all numbers.

Step1:

LCM(120, 717) = 28680

GCD(120, 717) = ( 120 x 717 ) / 28680

= 120 / 717

= 120

Step2:

LCM(3, 829) = 2487

GCD(3, 829) = ( 3 x 829 ) / 2487

= 3 / 829

= 3

Step3:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1

So, Greatest Common Divisor of 120, 717, 829, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 933, 742, 796
• GCD of 427, 181, 656, 646
• GCD of 543, 141, 178, 120
• GCD of 989, 646, 235, 512
• GCD of 441, 834, 448, 332

Given numbers are 120, 717, 829, 716
The greatest common divisor of numbers 120, 717, 829, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 717, 829, 716 is 1.

1. What is the GCD of 120, 717, 829, 716?

GCD of given numbers 120, 717, 829, 716 is 1

2. How to calculate the greatest common divisor of 120, 717, 829, 716?

We can find the highest common divisor of 120, 717, 829, 716 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 120, 717, 829, 716 i.e 1.

3. How can I use the GCD of 120, 717, 829, 716Calculator?

Out the numbers 120, 717, 829, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.