Online GCD Calculator is useful to find the GCD of 734, 452, 136, 616 quickly. Get the easiest ways to solve the greatest common divisor of 734, 452, 136, 616 i.e 2 in different methods as follows.
Given Input numbers are 734, 452, 136, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (734, 452, 136, 616) = 2.
Given numbers are 734, 452, 136, 616
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 452 are 2 x 2 x 113
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 734, 452, 136, 616 is 2.
Given numbers are 734, 452, 136, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 452) = 165884
GCD(734, 452) = ( 734 x 452 ) / 165884
= 734 / 452
= 734
Step2:
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
= 2 / 136
= 2
Step3:
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
= 2 / 616
= 2
So, Greatest Common Divisor of 734, 452, 136, 616 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 734, 452, 136, 616
The greatest common divisor of numbers 734, 452, 136, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 452, 136, 616 is 2.
1. What is the GCD of 734, 452, 136, 616?
GCD of given numbers 734, 452, 136, 616 is 2
2. How to calculate the greatest common divisor of 734, 452, 136, 616?
We can find the highest common divisor of 734, 452, 136, 616 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 734, 452, 136, 616 i.e 2.
3. How can I use the GCD of 734, 452, 136, 616Calculator?
Out the numbers 734, 452, 136, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.