Online GCD Calculator is useful to find the GCD of 130, 420, 871, 912 quickly. Get the easiest ways to solve the greatest common divisor of 130, 420, 871, 912 i.e 1 in different methods as follows.
Given Input numbers are 130, 420, 871, 912
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
GCD of numbers is the greatest common divisor
So, the GCD (130, 420, 871, 912) = 1.
Given numbers are 130, 420, 871, 912
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 871 are 13 x 67
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 130, 420, 871, 912
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 420) = 5460
GCD(130, 420) = ( 130 x 420 ) / 5460
= 130 / 420
= 130
Step2:
LCM(10, 871) = 8710
GCD(10, 871) = ( 10 x 871 ) / 8710
= 10 / 871
= 10
Step3:
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
= 1 / 912
= 1
So, Greatest Common Divisor of 130, 420, 871, 912 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 420, 871, 912
The greatest common divisor of numbers 130, 420, 871, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 420, 871, 912 is 1.
1. What is the GCD of 130, 420, 871, 912?
GCD of given numbers 130, 420, 871, 912 is 1
2. How to calculate the greatest common divisor of 130, 420, 871, 912?
We can find the highest common divisor of 130, 420, 871, 912 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 130, 420, 871, 912 i.e 1.
3. How can I use the GCD of 130, 420, 871, 912Calculator?
Out the numbers 130, 420, 871, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.