Online GCD Calculator is useful to find the GCD of 286, 686, 238, 987 quickly. Get the easiest ways to solve the greatest common divisor of 286, 686, 238, 987 i.e 1 in different methods as follows.
Given Input numbers are 286, 686, 238, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
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 (286, 686, 238, 987) = 1.
Given numbers are 286, 686, 238, 987
The list of prime factors of all numbers are
Prime factors of 286 are 2 x 11 x 13
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 238 are 2 x 7 x 17
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 286, 686, 238, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(286, 686) = 98098
GCD(286, 686) = ( 286 x 686 ) / 98098
= 286 / 686
= 286
Step2:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
Step3:
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
= 2 / 987
= 2
So, Greatest Common Divisor of 286, 686, 238, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 286, 686, 238, 987
The greatest common divisor of numbers 286, 686, 238, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 286, 686, 238, 987 is 1.
1. What is the GCD of 286, 686, 238, 987?
GCD of given numbers 286, 686, 238, 987 is 1
2. How to calculate the greatest common divisor of 286, 686, 238, 987?
We can find the highest common divisor of 286, 686, 238, 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 286, 686, 238, 987 i.e 1.
3. How can I use the GCD of 286, 686, 238, 987Calculator?
Out the numbers 286, 686, 238, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.