Online GCD Calculator is useful to find the GCD of 740, 687, 966, 309 quickly. Get the easiest ways to solve the greatest common divisor of 740, 687, 966, 309 i.e 1 in different methods as follows.
Given Input numbers are 740, 687, 966, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (740, 687, 966, 309) = 1.
Given numbers are 740, 687, 966, 309
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 687 are 3 x 229
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 740, 687, 966, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 687) = 508380
GCD(740, 687) = ( 740 x 687 ) / 508380
= 740 / 687
= 740
Step2:
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
= 1 / 966
= 1
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 740, 687, 966, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 687, 966, 309
The greatest common divisor of numbers 740, 687, 966, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 687, 966, 309 is 1.
1. What is the GCD of 740, 687, 966, 309?
GCD of given numbers 740, 687, 966, 309 is 1
2. How to calculate the greatest common divisor of 740, 687, 966, 309?
We can find the highest common divisor of 740, 687, 966, 309 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 740, 687, 966, 309 i.e 1.
3. How can I use the GCD of 740, 687, 966, 309Calculator?
Out the numbers 740, 687, 966, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.