Online GCD Calculator is useful to find the GCD of 132, 508, 871, 870 quickly. Get the easiest ways to solve the greatest common divisor of 132, 508, 871, 870 i.e 1 in different methods as follows.
Given Input numbers are 132, 508, 871, 870
In the factoring method, we have to find the divisors of all numbers
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 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
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
GCD of numbers is the greatest common divisor
So, the GCD (132, 508, 871, 870) = 1.
Given numbers are 132, 508, 871, 870
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 508 are 2 x 2 x 127
Prime factors of 871 are 13 x 67
Prime factors of 870 are 2 x 3 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 508, 871, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 508) = 16764
GCD(132, 508) = ( 132 x 508 ) / 16764
= 132 / 508
= 132
Step2:
LCM(4, 871) = 3484
GCD(4, 871) = ( 4 x 871 ) / 3484
= 4 / 871
= 4
Step3:
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
= 1 / 870
= 1
So, Greatest Common Divisor of 132, 508, 871, 870 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 508, 871, 870
The greatest common divisor of numbers 132, 508, 871, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 508, 871, 870 is 1.
1. What is the GCD of 132, 508, 871, 870?
GCD of given numbers 132, 508, 871, 870 is 1
2. How to calculate the greatest common divisor of 132, 508, 871, 870?
We can find the highest common divisor of 132, 508, 871, 870 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 132, 508, 871, 870 i.e 1.
3. How can I use the GCD of 132, 508, 871, 870Calculator?
Out the numbers 132, 508, 871, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.