Online GCD Calculator is useful to find the GCD of 960, 231, 343, 749 quickly. Get the easiest ways to solve the greatest common divisor of 960, 231, 343, 749 i.e 1 in different methods as follows.
Given Input numbers are 960, 231, 343, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (960, 231, 343, 749) = 1.
Given numbers are 960, 231, 343, 749
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 231 are 3 x 7 x 11
Prime factors of 343 are 7 x 7 x 7
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 960, 231, 343, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 231) = 73920
GCD(960, 231) = ( 960 x 231 ) / 73920
= 960 / 231
= 960
Step2:
LCM(3, 343) = 1029
GCD(3, 343) = ( 3 x 343 ) / 1029
= 3 / 343
= 3
Step3:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
So, Greatest Common Divisor of 960, 231, 343, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 231, 343, 749
The greatest common divisor of numbers 960, 231, 343, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 231, 343, 749 is 1.
1. What is the GCD of 960, 231, 343, 749?
GCD of given numbers 960, 231, 343, 749 is 1
2. How to calculate the greatest common divisor of 960, 231, 343, 749?
We can find the highest common divisor of 960, 231, 343, 749 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 960, 231, 343, 749 i.e 1.
3. How can I use the GCD of 960, 231, 343, 749Calculator?
Out the numbers 960, 231, 343, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.