Online GCD Calculator is useful to find the GCD of 870, 828, 872, 739 quickly. Get the easiest ways to solve the greatest common divisor of 870, 828, 872, 739 i.e 1 in different methods as follows.
Given Input numbers are 870, 828, 872, 739
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 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
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 739 :
The positive integer divisors of 739 that completely divides 739 are.
1, 739
GCD of numbers is the greatest common divisor
So, the GCD (870, 828, 872, 739) = 1.
Given numbers are 870, 828, 872, 739
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 739 are 739
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 870, 828, 872, 739
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 828) = 120060
GCD(870, 828) = ( 870 x 828 ) / 120060
= 870 / 828
= 870
Step2:
LCM(6, 872) = 2616
GCD(6, 872) = ( 6 x 872 ) / 2616
= 6 / 872
= 6
Step3:
LCM(2, 739) = 1478
GCD(2, 739) = ( 2 x 739 ) / 1478
= 2 / 739
= 2
So, Greatest Common Divisor of 870, 828, 872, 739 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 828, 872, 739
The greatest common divisor of numbers 870, 828, 872, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 828, 872, 739 is 1.
1. What is the GCD of 870, 828, 872, 739?
GCD of given numbers 870, 828, 872, 739 is 1
2. How to calculate the greatest common divisor of 870, 828, 872, 739?
We can find the highest common divisor of 870, 828, 872, 739 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, 828, 872, 739 i.e 1.
3. How can I use the GCD of 870, 828, 872, 739Calculator?
Out the numbers 870, 828, 872, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.