Online GCD Calculator is useful to find the GCD of 343, 872, 507, 358 quickly. Get the easiest ways to solve the greatest common divisor of 343, 872, 507, 358 i.e 1 in different methods as follows.
Given Input numbers are 343, 872, 507, 358
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 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (343, 872, 507, 358) = 1.
Given numbers are 343, 872, 507, 358
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 507 are 3 x 13 x 13
Prime factors of 358 are 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 872, 507, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 872) = 299096
GCD(343, 872) = ( 343 x 872 ) / 299096
= 343 / 872
= 343
Step2:
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
= 1 / 507
= 1
Step3:
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
= 1 / 358
= 1
So, Greatest Common Divisor of 343, 872, 507, 358 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 872, 507, 358
The greatest common divisor of numbers 343, 872, 507, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 872, 507, 358 is 1.
1. What is the GCD of 343, 872, 507, 358?
GCD of given numbers 343, 872, 507, 358 is 1
2. How to calculate the greatest common divisor of 343, 872, 507, 358?
We can find the highest common divisor of 343, 872, 507, 358 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, 872, 507, 358 i.e 1.
3. How can I use the GCD of 343, 872, 507, 358Calculator?
Out the numbers 343, 872, 507, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.