Online GCD Calculator is useful to find the GCD of 357, 644, 870, 872 quickly. Get the easiest ways to solve the greatest common divisor of 357, 644, 870, 872 i.e 1 in different methods as follows.
Given Input numbers are 357, 644, 870, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
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 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (357, 644, 870, 872) = 1.
Given numbers are 357, 644, 870, 872
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 357, 644, 870, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 644) = 32844
GCD(357, 644) = ( 357 x 644 ) / 32844
= 357 / 644
= 357
Step2:
LCM(7, 870) = 6090
GCD(7, 870) = ( 7 x 870 ) / 6090
= 7 / 870
= 7
Step3:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
So, Greatest Common Divisor of 357, 644, 870, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 644, 870, 872
The greatest common divisor of numbers 357, 644, 870, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 644, 870, 872 is 1.
1. What is the GCD of 357, 644, 870, 872?
GCD of given numbers 357, 644, 870, 872 is 1
2. How to calculate the greatest common divisor of 357, 644, 870, 872?
We can find the highest common divisor of 357, 644, 870, 872 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 357, 644, 870, 872 i.e 1.
3. How can I use the GCD of 357, 644, 870, 872Calculator?
Out the numbers 357, 644, 870, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.