Online GCD Calculator is useful to find the GCD of 870, 390, 132, 732 quickly. Get the easiest ways to solve the greatest common divisor of 870, 390, 132, 732 i.e 6 in different methods as follows.
Given Input numbers are 870, 390, 132, 732
In the factoring method, we have to find the divisors of all numbers
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
GCD of numbers is the greatest common divisor
So, the GCD (870, 390, 132, 732) = 6.
Given numbers are 870, 390, 132, 732
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 21 x 31
Therefore, GCD of 870, 390, 132, 732 is 6.
Given numbers are 870, 390, 132, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 390) = 11310
GCD(870, 390) = ( 870 x 390 ) / 11310
= 870 / 390
= 870
Step2:
LCM(30, 132) = 660
GCD(30, 132) = ( 30 x 132 ) / 660
= 30 / 132
= 30
Step3:
LCM(6, 732) = 732
GCD(6, 732) = ( 6 x 732 ) / 732
= 6 / 732
= 6
So, Greatest Common Divisor of 870, 390, 132, 732 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 390, 132, 732
The greatest common divisor of numbers 870, 390, 132, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 390, 132, 732 is 6.
1. What is the GCD of 870, 390, 132, 732?
GCD of given numbers 870, 390, 132, 732 is 6
2. How to calculate the greatest common divisor of 870, 390, 132, 732?
We can find the highest common divisor of 870, 390, 132, 732 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 870, 390, 132, 732 i.e 6.
3. How can I use the GCD of 870, 390, 132, 732Calculator?
Out the numbers 870, 390, 132, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.