Online GCD Calculator is useful to find the GCD of 730, 632, 186, 828 quickly. Get the easiest ways to solve the greatest common divisor of 730, 632, 186, 828 i.e 2 in different methods as follows.
Given Input numbers are 730, 632, 186, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (730, 632, 186, 828) = 2.
Given numbers are 730, 632, 186, 828
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 186 are 2 x 3 x 31
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 730, 632, 186, 828 is 2.
Given numbers are 730, 632, 186, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 632) = 230680
GCD(730, 632) = ( 730 x 632 ) / 230680
= 730 / 632
= 730
Step2:
LCM(2, 186) = 186
GCD(2, 186) = ( 2 x 186 ) / 186
= 2 / 186
= 2
Step3:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
So, Greatest Common Divisor of 730, 632, 186, 828 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 632, 186, 828
The greatest common divisor of numbers 730, 632, 186, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 632, 186, 828 is 2.
1. What is the GCD of 730, 632, 186, 828?
GCD of given numbers 730, 632, 186, 828 is 2
2. How to calculate the greatest common divisor of 730, 632, 186, 828?
We can find the highest common divisor of 730, 632, 186, 828 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 730, 632, 186, 828 i.e 2.
3. How can I use the GCD of 730, 632, 186, 828Calculator?
Out the numbers 730, 632, 186, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.