Online GCD Calculator is useful to find the GCD of 508, 654, 343, 986 quickly. Get the easiest ways to solve the greatest common divisor of 508, 654, 343, 986 i.e 1 in different methods as follows.
Given Input numbers are 508, 654, 343, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (508, 654, 343, 986) = 1.
Given numbers are 508, 654, 343, 986
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 654 are 2 x 3 x 109
Prime factors of 343 are 7 x 7 x 7
Prime factors of 986 are 2 x 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 508, 654, 343, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 654) = 166116
GCD(508, 654) = ( 508 x 654 ) / 166116
= 508 / 654
= 508
Step2:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
Step3:
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
= 1 / 986
= 1
So, Greatest Common Divisor of 508, 654, 343, 986 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 654, 343, 986
The greatest common divisor of numbers 508, 654, 343, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 654, 343, 986 is 1.
1. What is the GCD of 508, 654, 343, 986?
GCD of given numbers 508, 654, 343, 986 is 1
2. How to calculate the greatest common divisor of 508, 654, 343, 986?
We can find the highest common divisor of 508, 654, 343, 986 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 508, 654, 343, 986 i.e 1.
3. How can I use the GCD of 508, 654, 343, 986Calculator?
Out the numbers 508, 654, 343, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.