Online GCD Calculator is useful to find the GCD of 770, 779, 684, 109 quickly. Get the easiest ways to solve the greatest common divisor of 770, 779, 684, 109 i.e 1 in different methods as follows.
Given Input numbers are 770, 779, 684, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 779 :
The positive integer divisors of 779 that completely divides 779 are.
1, 19, 41, 779
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (770, 779, 684, 109) = 1.
Given numbers are 770, 779, 684, 109
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 779 are 19 x 41
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 770, 779, 684, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 779) = 599830
GCD(770, 779) = ( 770 x 779 ) / 599830
= 770 / 779
= 770
Step2:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 770, 779, 684, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 779, 684, 109
The greatest common divisor of numbers 770, 779, 684, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 779, 684, 109 is 1.
1. What is the GCD of 770, 779, 684, 109?
GCD of given numbers 770, 779, 684, 109 is 1
2. How to calculate the greatest common divisor of 770, 779, 684, 109?
We can find the highest common divisor of 770, 779, 684, 109 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 770, 779, 684, 109 i.e 1.
3. How can I use the GCD of 770, 779, 684, 109Calculator?
Out the numbers 770, 779, 684, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.