GCD of 106, 107, 789, 472 Calculator

Given Input numbers are 106, 107, 789, 472

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 107 :

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

1, 107

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (106, 107, 789, 472) = 1.

Given numbers are 106, 107, 789, 472

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 107 are 107

Prime factors of 789 are 3 x 263

Prime factors of 472 are 2 x 2 x 2 x 59

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

Given numbers are 106, 107, 789, 472

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

Apply this formula for all numbers.

Step1:

LCM(106, 107) = 11342

GCD(106, 107) = ( 106 x 107 ) / 11342

= 106 / 107

= 106

Step2:

LCM(1, 789) = 789

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

= 1 / 789

= 1

Step3:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1

So, Greatest Common Divisor of 106, 107, 789, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 637, 848, 102
• GCD of 807, 238, 375, 693
• GCD of 919, 659, 758, 965
• GCD of 957, 892, 771, 555
• GCD of 559, 843, 869, 897

Given numbers are 106, 107, 789, 472
The greatest common divisor of numbers 106, 107, 789, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 107, 789, 472 is 1.

1. What is the GCD of 106, 107, 789, 472?

GCD of given numbers 106, 107, 789, 472 is 1

2. How to calculate the greatest common divisor of 106, 107, 789, 472?

We can find the highest common divisor of 106, 107, 789, 472 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 106, 107, 789, 472 i.e 1.

3. How can I use the GCD of 106, 107, 789, 472Calculator?

Out the numbers 106, 107, 789, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.