Online GCD Calculator is useful to find the GCD of 753, 396, 557, 343 quickly. Get the easiest ways to solve the greatest common divisor of 753, 396, 557, 343 i.e 1 in different methods as follows.
Given Input numbers are 753, 396, 557, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 557 :
The positive integer divisors of 557 that completely divides 557 are.
1, 557
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 (753, 396, 557, 343) = 1.
Given numbers are 753, 396, 557, 343
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 557 are 557
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 753, 396, 557, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 396) = 99396
GCD(753, 396) = ( 753 x 396 ) / 99396
= 753 / 396
= 753
Step2:
LCM(3, 557) = 1671
GCD(3, 557) = ( 3 x 557 ) / 1671
= 3 / 557
= 3
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 753, 396, 557, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 396, 557, 343
The greatest common divisor of numbers 753, 396, 557, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 396, 557, 343 is 1.
1. What is the GCD of 753, 396, 557, 343?
GCD of given numbers 753, 396, 557, 343 is 1
2. How to calculate the greatest common divisor of 753, 396, 557, 343?
We can find the highest common divisor of 753, 396, 557, 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 753, 396, 557, 343 i.e 1.
3. How can I use the GCD of 753, 396, 557, 343Calculator?
Out the numbers 753, 396, 557, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.