Online GCD Calculator is useful to find the GCD of 120, 675, 925 quickly. Get the easiest ways to solve the greatest common divisor of 120, 675, 925 i.e 5 in different methods as follows.
Given Input numbers are 120, 675, 925
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
GCD of numbers is the greatest common divisor
So, the GCD (120, 675, 925) = 5.
Given numbers are 120, 675, 925
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 925 are 5 x 5 x 37
The highest common occurrence is 51
Therefore, GCD of 120, 675, 925 is 5.
Given numbers are 120, 675, 925
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 675) = 5400
GCD(120, 675) = ( 120 x 675 ) / 5400
= 120 / 675
= 120
Step2:
LCM(15, 925) = 2775
GCD(15, 925) = ( 15 x 925 ) / 2775
= 15 / 925
= 15
So, Greatest Common Divisor of 120, 675, 925 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 675, 925
The greatest common divisor of numbers 120, 675, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 675, 925 is 5.
1. What is the GCD of 120, 675, 925?
GCD of given numbers 120, 675, 925 is 5
2. How to calculate the greatest common divisor of 120, 675, 925?
We can find the highest common divisor of 120, 675, 925 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 120, 675, 925 i.e 5.
3. How can I use the GCD of 120, 675, 925Calculator?
Out the numbers 120, 675, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.