Online GCD Calculator is useful to find the GCD of 290, 752, 241, 343 quickly. Get the easiest ways to solve the greatest common divisor of 290, 752, 241, 343 i.e 1 in different methods as follows.
Given Input numbers are 290, 752, 241, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 241 :
The positive integer divisors of 241 that completely divides 241 are.
1, 241
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (290, 752, 241, 343) = 1.
Given numbers are 290, 752, 241, 343
The list of prime factors of all numbers are
Prime factors of 290 are 2 x 5 x 29
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 241 are 241
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 290, 752, 241, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(290, 752) = 109040
GCD(290, 752) = ( 290 x 752 ) / 109040
= 290 / 752
= 290
Step2:
LCM(2, 241) = 482
GCD(2, 241) = ( 2 x 241 ) / 482
= 2 / 241
= 2
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 290, 752, 241, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 290, 752, 241, 343
The greatest common divisor of numbers 290, 752, 241, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 752, 241, 343 is 1.
1. What is the GCD of 290, 752, 241, 343?
GCD of given numbers 290, 752, 241, 343 is 1
2. How to calculate the greatest common divisor of 290, 752, 241, 343?
We can find the highest common divisor of 290, 752, 241, 343 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 290, 752, 241, 343 i.e 1.
3. How can I use the GCD of 290, 752, 241, 343Calculator?
Out the numbers 290, 752, 241, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.