Online GCD Calculator is useful to find the GCD of 770, 604, 742, 104 quickly. Get the easiest ways to solve the greatest common divisor of 770, 604, 742, 104 i.e 2 in different methods as follows.
Given Input numbers are 770, 604, 742, 104
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 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
GCD of numbers is the greatest common divisor
So, the GCD (770, 604, 742, 104) = 2.
Given numbers are 770, 604, 742, 104
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 604 are 2 x 2 x 151
Prime factors of 742 are 2 x 7 x 53
Prime factors of 104 are 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 770, 604, 742, 104 is 2.
Given numbers are 770, 604, 742, 104
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 604) = 232540
GCD(770, 604) = ( 770 x 604 ) / 232540
= 770 / 604
= 770
Step2:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
Step3:
LCM(2, 104) = 104
GCD(2, 104) = ( 2 x 104 ) / 104
= 2 / 104
= 2
So, Greatest Common Divisor of 770, 604, 742, 104 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 604, 742, 104
The greatest common divisor of numbers 770, 604, 742, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 604, 742, 104 is 2.
1. What is the GCD of 770, 604, 742, 104?
GCD of given numbers 770, 604, 742, 104 is 2
2. How to calculate the greatest common divisor of 770, 604, 742, 104?
We can find the highest common divisor of 770, 604, 742, 104 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, 604, 742, 104 i.e 2.
3. How can I use the GCD of 770, 604, 742, 104Calculator?
Out the numbers 770, 604, 742, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.