GCD of 107, 722, 716, 789 Calculator

Given Input numbers are 107, 722, 716, 789

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 716 :

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

1, 2, 4, 179, 358, 716

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 (107, 722, 716, 789) = 1.

Given numbers are 107, 722, 716, 789

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 722 are 2 x 19 x 19

Prime factors of 716 are 2 x 2 x 179

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 107, 722, 716, 789

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

Apply this formula for all numbers.

Step1:

LCM(107, 722) = 77254

GCD(107, 722) = ( 107 x 722 ) / 77254

= 107 / 722

= 107

Step2:

LCM(1, 716) = 716

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

= 1 / 716

= 1

Step3:

LCM(1, 789) = 789

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

= 1 / 789

= 1

So, Greatest Common Divisor of 107, 722, 716, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 775, 604, 733
• GCD of 412, 746, 142, 320
• GCD of 769, 717, 943, 120
• GCD of 808, 618, 567, 551
• GCD of 238, 869, 897, 213

Given numbers are 107, 722, 716, 789
The greatest common divisor of numbers 107, 722, 716, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 722, 716, 789 is 1.

1. What is the GCD of 107, 722, 716, 789?

GCD of given numbers 107, 722, 716, 789 is 1

2. How to calculate the greatest common divisor of 107, 722, 716, 789?

We can find the highest common divisor of 107, 722, 716, 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 107, 722, 716, 789 i.e 1.

3. How can I use the GCD of 107, 722, 716, 789Calculator?

Out the numbers 107, 722, 716, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.