Online GCD Calculator is useful to find the GCD of 372, 300, 668, 840 quickly. Get the easiest ways to solve the greatest common divisor of 372, 300, 668, 840 i.e 4 in different methods as follows.
Given Input numbers are 372, 300, 668, 840
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 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
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (372, 300, 668, 840) = 4.
Given numbers are 372, 300, 668, 840
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 668 are 2 x 2 x 167
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 372, 300, 668, 840 is 4.
Given numbers are 372, 300, 668, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 300) = 9300
GCD(372, 300) = ( 372 x 300 ) / 9300
= 372 / 300
= 372
Step2:
LCM(12, 668) = 2004
GCD(12, 668) = ( 12 x 668 ) / 2004
= 12 / 668
= 12
Step3:
LCM(4, 840) = 840
GCD(4, 840) = ( 4 x 840 ) / 840
= 4 / 840
= 4
So, Greatest Common Divisor of 372, 300, 668, 840 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 372, 300, 668, 840
The greatest common divisor of numbers 372, 300, 668, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 300, 668, 840 is 4.
1. What is the GCD of 372, 300, 668, 840?
GCD of given numbers 372, 300, 668, 840 is 4
2. How to calculate the greatest common divisor of 372, 300, 668, 840?
We can find the highest common divisor of 372, 300, 668, 840 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, 300, 668, 840 i.e 4.
3. How can I use the GCD of 372, 300, 668, 840Calculator?
Out the numbers 372, 300, 668, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.