Online GCD Calculator is useful to find the GCD of 372, 735, 144, 300 quickly. Get the easiest ways to solve the greatest common divisor of 372, 735, 144, 300 i.e 3 in different methods as follows.
Given Input numbers are 372, 735, 144, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (372, 735, 144, 300) = 3.
Given numbers are 372, 735, 144, 300
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 372, 735, 144, 300 is 3.
Given numbers are 372, 735, 144, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 735) = 91140
GCD(372, 735) = ( 372 x 735 ) / 91140
= 372 / 735
= 372
Step2:
LCM(3, 144) = 144
GCD(3, 144) = ( 3 x 144 ) / 144
= 3 / 144
= 3
Step3:
LCM(3, 300) = 300
GCD(3, 300) = ( 3 x 300 ) / 300
= 3 / 300
= 3
So, Greatest Common Divisor of 372, 735, 144, 300 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 372, 735, 144, 300
The greatest common divisor of numbers 372, 735, 144, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 735, 144, 300 is 3.
1. What is the GCD of 372, 735, 144, 300?
GCD of given numbers 372, 735, 144, 300 is 3
2. How to calculate the greatest common divisor of 372, 735, 144, 300?
We can find the highest common divisor of 372, 735, 144, 300 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 372, 735, 144, 300 i.e 3.
3. How can I use the GCD of 372, 735, 144, 300Calculator?
Out the numbers 372, 735, 144, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.