Online GCD Calculator is useful to find the GCD of 854, 309, 742, 655 quickly. Get the easiest ways to solve the greatest common divisor of 854, 309, 742, 655 i.e 1 in different methods as follows.
Given Input numbers are 854, 309, 742, 655
In the factoring method, we have to find the divisors of all numbers
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
GCD of numbers is the greatest common divisor
So, the GCD (854, 309, 742, 655) = 1.
Given numbers are 854, 309, 742, 655
The list of prime factors of all numbers are
Prime factors of 854 are 2 x 7 x 61
Prime factors of 309 are 3 x 103
Prime factors of 742 are 2 x 7 x 53
Prime factors of 655 are 5 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 854, 309, 742, 655
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(854, 309) = 263886
GCD(854, 309) = ( 854 x 309 ) / 263886
= 854 / 309
= 854
Step2:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
Step3:
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
= 1 / 655
= 1
So, Greatest Common Divisor of 854, 309, 742, 655 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 854, 309, 742, 655
The greatest common divisor of numbers 854, 309, 742, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 309, 742, 655 is 1.
1. What is the GCD of 854, 309, 742, 655?
GCD of given numbers 854, 309, 742, 655 is 1
2. How to calculate the greatest common divisor of 854, 309, 742, 655?
We can find the highest common divisor of 854, 309, 742, 655 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 854, 309, 742, 655 i.e 1.
3. How can I use the GCD of 854, 309, 742, 655Calculator?
Out the numbers 854, 309, 742, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.