Online GCD Calculator is useful to find the GCD of 420, 945, 375 quickly. Get the easiest ways to solve the greatest common divisor of 420, 945, 375 i.e 15 in different methods as follows.
Given Input numbers are 420, 945, 375
In the factoring method, we have to find the divisors of all numbers
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 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (420, 945, 375) = 15.
Given numbers are 420, 945, 375
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 375 are 3 x 5 x 5 x 5
The highest common occurrence is 31 x 51
Therefore, GCD of 420, 945, 375 is 15.
Given numbers are 420, 945, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 945) = 3780
GCD(420, 945) = ( 420 x 945 ) / 3780
= 420 / 945
= 420
Step2:
LCM(105, 375) = 2625
GCD(105, 375) = ( 105 x 375 ) / 2625
= 105 / 375
= 105
So, Greatest Common Divisor of 420, 945, 375 is 15
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 945, 375
The greatest common divisor of numbers 420, 945, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 945, 375 is 15.
1. What is the GCD of 420, 945, 375?
GCD of given numbers 420, 945, 375 is 15
2. How to calculate the greatest common divisor of 420, 945, 375?
We can find the highest common divisor of 420, 945, 375 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 420, 945, 375 i.e 15.
3. How can I use the GCD of 420, 945, 375Calculator?
Out the numbers 420, 945, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.