Online GCD Calculator is useful to find the GCD of 114, 680, 770 quickly. Get the easiest ways to solve the greatest common divisor of 114, 680, 770 i.e 2 in different methods as follows.
Given Input numbers are 114, 680, 770
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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
GCD of numbers is the greatest common divisor
So, the GCD (114, 680, 770) = 2.
Given numbers are 114, 680, 770
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 770 are 2 x 5 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 114, 680, 770 is 2.
Given numbers are 114, 680, 770
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 680) = 38760
GCD(114, 680) = ( 114 x 680 ) / 38760
= 114 / 680
= 114
Step2:
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
= 2 / 770
= 2
So, Greatest Common Divisor of 114, 680, 770 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 680, 770
The greatest common divisor of numbers 114, 680, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 680, 770 is 2.
1. What is the GCD of 114, 680, 770?
GCD of given numbers 114, 680, 770 is 2
2. How to calculate the greatest common divisor of 114, 680, 770?
We can find the highest common divisor of 114, 680, 770 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 114, 680, 770 i.e 2.
3. How can I use the GCD of 114, 680, 770Calculator?
Out the numbers 114, 680, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.