Online GCD Calculator is useful to find the GCD of 136, 654, 746, 808 quickly. Get the easiest ways to solve the greatest common divisor of 136, 654, 746, 808 i.e 2 in different methods as follows.
Given Input numbers are 136, 654, 746, 808
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 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
GCD of numbers is the greatest common divisor
So, the GCD (136, 654, 746, 808) = 2.
Given numbers are 136, 654, 746, 808
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 654 are 2 x 3 x 109
Prime factors of 746 are 2 x 373
Prime factors of 808 are 2 x 2 x 2 x 101
The highest common occurrence is 21
Therefore, GCD of 136, 654, 746, 808 is 2.
Given numbers are 136, 654, 746, 808
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 654) = 44472
GCD(136, 654) = ( 136 x 654 ) / 44472
= 136 / 654
= 136
Step2:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
Step3:
LCM(2, 808) = 808
GCD(2, 808) = ( 2 x 808 ) / 808
= 2 / 808
= 2
So, Greatest Common Divisor of 136, 654, 746, 808 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 654, 746, 808
The greatest common divisor of numbers 136, 654, 746, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 654, 746, 808 is 2.
1. What is the GCD of 136, 654, 746, 808?
GCD of given numbers 136, 654, 746, 808 is 2
2. How to calculate the greatest common divisor of 136, 654, 746, 808?
We can find the highest common divisor of 136, 654, 746, 808 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, 654, 746, 808 i.e 2.
3. How can I use the GCD of 136, 654, 746, 808Calculator?
Out the numbers 136, 654, 746, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.