Online GCD Calculator is useful to find the GCD of 625, 420, 165, 108 quickly. Get the easiest ways to solve the greatest common divisor of 625, 420, 165, 108 i.e 1 in different methods as follows.
Given Input numbers are 625, 420, 165, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (625, 420, 165, 108) = 1.
Given numbers are 625, 420, 165, 108
The list of prime factors of all numbers are
Prime factors of 625 are 5 x 5 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 165 are 3 x 5 x 11
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 625, 420, 165, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(625, 420) = 52500
GCD(625, 420) = ( 625 x 420 ) / 52500
= 625 / 420
= 625
Step2:
LCM(5, 165) = 165
GCD(5, 165) = ( 5 x 165 ) / 165
= 5 / 165
= 5
Step3:
LCM(5, 108) = 540
GCD(5, 108) = ( 5 x 108 ) / 540
= 5 / 108
= 5
So, Greatest Common Divisor of 625, 420, 165, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 625, 420, 165, 108
The greatest common divisor of numbers 625, 420, 165, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 625, 420, 165, 108 is 1.
1. What is the GCD of 625, 420, 165, 108?
GCD of given numbers 625, 420, 165, 108 is 1
2. How to calculate the greatest common divisor of 625, 420, 165, 108?
We can find the highest common divisor of 625, 420, 165, 108 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 625, 420, 165, 108 i.e 1.
3. How can I use the GCD of 625, 420, 165, 108Calculator?
Out the numbers 625, 420, 165, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.