Online GCD Calculator is useful to find the GCD of 714, 977, 335, 309 quickly. Get the easiest ways to solve the greatest common divisor of 714, 977, 335, 309 i.e 1 in different methods as follows.
Given Input numbers are 714, 977, 335, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 335 :
The positive integer divisors of 335 that completely divides 335 are.
1, 5, 67, 335
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 (714, 977, 335, 309) = 1.
Given numbers are 714, 977, 335, 309
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 977 are 977
Prime factors of 335 are 5 x 67
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 714, 977, 335, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 977) = 697578
GCD(714, 977) = ( 714 x 977 ) / 697578
= 714 / 977
= 714
Step2:
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
= 1 / 335
= 1
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 714, 977, 335, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 977, 335, 309
The greatest common divisor of numbers 714, 977, 335, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 977, 335, 309 is 1.
1. What is the GCD of 714, 977, 335, 309?
GCD of given numbers 714, 977, 335, 309 is 1
2. How to calculate the greatest common divisor of 714, 977, 335, 309?
We can find the highest common divisor of 714, 977, 335, 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 714, 977, 335, 309 i.e 1.
3. How can I use the GCD of 714, 977, 335, 309Calculator?
Out the numbers 714, 977, 335, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.