Online GCD Calculator is useful to find the GCD of 765, 684, 916, 625 quickly. Get the easiest ways to solve the greatest common divisor of 765, 684, 916, 625 i.e 1 in different methods as follows.
Given Input numbers are 765, 684, 916, 625
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
GCD of numbers is the greatest common divisor
So, the GCD (765, 684, 916, 625) = 1.
Given numbers are 765, 684, 916, 625
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 916 are 2 x 2 x 229
Prime factors of 625 are 5 x 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 765, 684, 916, 625
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 684) = 58140
GCD(765, 684) = ( 765 x 684 ) / 58140
= 765 / 684
= 765
Step2:
LCM(9, 916) = 8244
GCD(9, 916) = ( 9 x 916 ) / 8244
= 9 / 916
= 9
Step3:
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
= 1 / 625
= 1
So, Greatest Common Divisor of 765, 684, 916, 625 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 765, 684, 916, 625
The greatest common divisor of numbers 765, 684, 916, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 684, 916, 625 is 1.
1. What is the GCD of 765, 684, 916, 625?
GCD of given numbers 765, 684, 916, 625 is 1
2. How to calculate the greatest common divisor of 765, 684, 916, 625?
We can find the highest common divisor of 765, 684, 916, 625 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 765, 684, 916, 625 i.e 1.
3. How can I use the GCD of 765, 684, 916, 625Calculator?
Out the numbers 765, 684, 916, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.