Online GCD Calculator is useful to find the GCD of 309, 870, 632 quickly. Get the easiest ways to solve the greatest common divisor of 309, 870, 632 i.e 1 in different methods as follows.
Given Input numbers are 309, 870, 632
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
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 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
GCD of numbers is the greatest common divisor
So, the GCD (309, 870, 632) = 1.
Given numbers are 309, 870, 632
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 632 are 2 x 2 x 2 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 870, 632
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 870) = 89610
GCD(309, 870) = ( 309 x 870 ) / 89610
= 309 / 870
= 309
Step2:
LCM(3, 632) = 1896
GCD(3, 632) = ( 3 x 632 ) / 1896
= 3 / 632
= 3
So, Greatest Common Divisor of 309, 870, 632 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 870, 632
The greatest common divisor of numbers 309, 870, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 870, 632 is 1.
1. What is the GCD of 309, 870, 632?
GCD of given numbers 309, 870, 632 is 1
2. How to calculate the greatest common divisor of 309, 870, 632?
We can find the highest common divisor of 309, 870, 632 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 309, 870, 632 i.e 1.
3. How can I use the GCD of 309, 870, 632Calculator?
Out the numbers 309, 870, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.