Online GCD Calculator is useful to find the GCD of 136, 838, 686, 760 quickly. Get the easiest ways to solve the greatest common divisor of 136, 838, 686, 760 i.e 2 in different methods as follows.
Given Input numbers are 136, 838, 686, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (136, 838, 686, 760) = 2.
Given numbers are 136, 838, 686, 760
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 838 are 2 x 419
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 136, 838, 686, 760 is 2.
Given numbers are 136, 838, 686, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 838) = 56984
GCD(136, 838) = ( 136 x 838 ) / 56984
= 136 / 838
= 136
Step2:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
Step3:
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
= 2 / 760
= 2
So, Greatest Common Divisor of 136, 838, 686, 760 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 838, 686, 760
The greatest common divisor of numbers 136, 838, 686, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 838, 686, 760 is 2.
1. What is the GCD of 136, 838, 686, 760?
GCD of given numbers 136, 838, 686, 760 is 2
2. How to calculate the greatest common divisor of 136, 838, 686, 760?
We can find the highest common divisor of 136, 838, 686, 760 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 136, 838, 686, 760 i.e 2.
3. How can I use the GCD of 136, 838, 686, 760Calculator?
Out the numbers 136, 838, 686, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.