Online GCD Calculator is useful to find the GCD of 105, 340, 749, 311 quickly. Get the easiest ways to solve the greatest common divisor of 105, 340, 749, 311 i.e 1 in different methods as follows.
Given Input numbers are 105, 340, 749, 311
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
GCD of numbers is the greatest common divisor
So, the GCD (105, 340, 749, 311) = 1.
Given numbers are 105, 340, 749, 311
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 749 are 7 x 107
Prime factors of 311 are 311
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 340, 749, 311
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 340) = 7140
GCD(105, 340) = ( 105 x 340 ) / 7140
= 105 / 340
= 105
Step2:
LCM(5, 749) = 3745
GCD(5, 749) = ( 5 x 749 ) / 3745
= 5 / 749
= 5
Step3:
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
= 1 / 311
= 1
So, Greatest Common Divisor of 105, 340, 749, 311 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 340, 749, 311
The greatest common divisor of numbers 105, 340, 749, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 340, 749, 311 is 1.
1. What is the GCD of 105, 340, 749, 311?
GCD of given numbers 105, 340, 749, 311 is 1
2. How to calculate the greatest common divisor of 105, 340, 749, 311?
We can find the highest common divisor of 105, 340, 749, 311 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 105, 340, 749, 311 i.e 1.
3. How can I use the GCD of 105, 340, 749, 311Calculator?
Out the numbers 105, 340, 749, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.