GCD of 120, 721, 34, 789 Calculator

Given Input numbers are 120, 721, 34, 789

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (120, 721, 34, 789) = 1.

Given numbers are 120, 721, 34, 789

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 721 are 7 x 103

Prime factors of 34 are 2 x 17

Prime factors of 789 are 3 x 263

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

Given numbers are 120, 721, 34, 789

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

Apply this formula for all numbers.

Step1:

LCM(120, 721) = 86520

GCD(120, 721) = ( 120 x 721 ) / 86520

= 120 / 721

= 120

Step2:

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

= 1 / 34

= 1

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 120, 721, 34, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 240, 52, 321
• GCD of 791, 140, 18, 463
• GCD of 888, 876, 79, 670
• GCD of 291, 985, 85, 589
• GCD of 675, 469, 38, 186

Given numbers are 120, 721, 34, 789
The greatest common divisor of numbers 120, 721, 34, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 721, 34, 789 is 1.

1. What is the GCD of 120, 721, 34, 789?

GCD of given numbers 120, 721, 34, 789 is 1

2. How to calculate the greatest common divisor of 120, 721, 34, 789?

We can find the highest common divisor of 120, 721, 34, 789 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, 721, 34, 789 i.e 1.

3. How can I use the GCD of 120, 721, 34, 789Calculator?

Out the numbers 120, 721, 34, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.