Online GCD Calculator is useful to find the GCD of 372, 724, 478, 894 quickly. Get the easiest ways to solve the greatest common divisor of 372, 724, 478, 894 i.e 2 in different methods as follows.
Given Input numbers are 372, 724, 478, 894
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 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
GCD of numbers is the greatest common divisor
So, the GCD (372, 724, 478, 894) = 2.
Given numbers are 372, 724, 478, 894
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 724 are 2 x 2 x 181
Prime factors of 478 are 2 x 239
Prime factors of 894 are 2 x 3 x 149
The highest common occurrence is 21
Therefore, GCD of 372, 724, 478, 894 is 2.
Given numbers are 372, 724, 478, 894
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 724) = 67332
GCD(372, 724) = ( 372 x 724 ) / 67332
= 372 / 724
= 372
Step2:
LCM(4, 478) = 956
GCD(4, 478) = ( 4 x 478 ) / 956
= 4 / 478
= 4
Step3:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
So, Greatest Common Divisor of 372, 724, 478, 894 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 372, 724, 478, 894
The greatest common divisor of numbers 372, 724, 478, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 724, 478, 894 is 2.
1. What is the GCD of 372, 724, 478, 894?
GCD of given numbers 372, 724, 478, 894 is 2
2. How to calculate the greatest common divisor of 372, 724, 478, 894?
We can find the highest common divisor of 372, 724, 478, 894 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, 724, 478, 894 i.e 2.
3. How can I use the GCD of 372, 724, 478, 894Calculator?
Out the numbers 372, 724, 478, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.