Online GCD Calculator is useful to find the GCD of 343, 520, 382, 988 quickly. Get the easiest ways to solve the greatest common divisor of 343, 520, 382, 988 i.e 1 in different methods as follows.
Given Input numbers are 343, 520, 382, 988
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (343, 520, 382, 988) = 1.
Given numbers are 343, 520, 382, 988
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 382 are 2 x 191
Prime factors of 988 are 2 x 2 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 520, 382, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 520) = 178360
GCD(343, 520) = ( 343 x 520 ) / 178360
= 343 / 520
= 343
Step2:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
Step3:
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
= 1 / 988
= 1
So, Greatest Common Divisor of 343, 520, 382, 988 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 520, 382, 988
The greatest common divisor of numbers 343, 520, 382, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 520, 382, 988 is 1.
1. What is the GCD of 343, 520, 382, 988?
GCD of given numbers 343, 520, 382, 988 is 1
2. How to calculate the greatest common divisor of 343, 520, 382, 988?
We can find the highest common divisor of 343, 520, 382, 988 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 343, 520, 382, 988 i.e 1.
3. How can I use the GCD of 343, 520, 382, 988Calculator?
Out the numbers 343, 520, 382, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.