Online GCD Calculator is useful to find the GCD of 343, 920, 660, 738 quickly. Get the easiest ways to solve the greatest common divisor of 343, 920, 660, 738 i.e 1 in different methods as follows.
Given Input numbers are 343, 920, 660, 738
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 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (343, 920, 660, 738) = 1.
Given numbers are 343, 920, 660, 738
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 738 are 2 x 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 920, 660, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 920) = 315560
GCD(343, 920) = ( 343 x 920 ) / 315560
= 343 / 920
= 343
Step2:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
Step3:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
So, Greatest Common Divisor of 343, 920, 660, 738 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 920, 660, 738
The greatest common divisor of numbers 343, 920, 660, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 920, 660, 738 is 1.
1. What is the GCD of 343, 920, 660, 738?
GCD of given numbers 343, 920, 660, 738 is 1
2. How to calculate the greatest common divisor of 343, 920, 660, 738?
We can find the highest common divisor of 343, 920, 660, 738 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, 920, 660, 738 i.e 1.
3. How can I use the GCD of 343, 920, 660, 738Calculator?
Out the numbers 343, 920, 660, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.