Online GCD Calculator is useful to find the GCD of 871, 980, 449, 987 quickly. Get the easiest ways to solve the greatest common divisor of 871, 980, 449, 987 i.e 1 in different methods as follows.
Given Input numbers are 871, 980, 449, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (871, 980, 449, 987) = 1.
Given numbers are 871, 980, 449, 987
The list of prime factors of all numbers are
Prime factors of 871 are 13 x 67
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 449 are 449
Prime factors of 987 are 3 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 871, 980, 449, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(871, 980) = 853580
GCD(871, 980) = ( 871 x 980 ) / 853580
= 871 / 980
= 871
Step2:
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
= 1 / 449
= 1
Step3:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
So, Greatest Common Divisor of 871, 980, 449, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 871, 980, 449, 987
The greatest common divisor of numbers 871, 980, 449, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 980, 449, 987 is 1.
1. What is the GCD of 871, 980, 449, 987?
GCD of given numbers 871, 980, 449, 987 is 1
2. How to calculate the greatest common divisor of 871, 980, 449, 987?
We can find the highest common divisor of 871, 980, 449, 987 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 871, 980, 449, 987 i.e 1.
3. How can I use the GCD of 871, 980, 449, 987Calculator?
Out the numbers 871, 980, 449, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.