Online GCD Calculator is useful to find the GCD of 100, 789, 396, 765 quickly. Get the easiest ways to solve the greatest common divisor of 100, 789, 396, 765 i.e 1 in different methods as follows.
Given Input numbers are 100, 789, 396, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (100, 789, 396, 765) = 1.
Given numbers are 100, 789, 396, 765
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 789 are 3 x 263
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 765 are 3 x 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 789, 396, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 789) = 78900
GCD(100, 789) = ( 100 x 789 ) / 78900
= 100 / 789
= 100
Step2:
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
= 1 / 396
= 1
Step3:
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
= 1 / 765
= 1
So, Greatest Common Divisor of 100, 789, 396, 765 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 789, 396, 765
The greatest common divisor of numbers 100, 789, 396, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 789, 396, 765 is 1.
1. What is the GCD of 100, 789, 396, 765?
GCD of given numbers 100, 789, 396, 765 is 1
2. How to calculate the greatest common divisor of 100, 789, 396, 765?
We can find the highest common divisor of 100, 789, 396, 765 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 100, 789, 396, 765 i.e 1.
3. How can I use the GCD of 100, 789, 396, 765Calculator?
Out the numbers 100, 789, 396, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.