Online GCD Calculator is useful to find the GCD of 136, 524, 754, 838 quickly. Get the easiest ways to solve the greatest common divisor of 136, 524, 754, 838 i.e 2 in different methods as follows.
Given Input numbers are 136, 524, 754, 838
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 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (136, 524, 754, 838) = 2.
Given numbers are 136, 524, 754, 838
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 524 are 2 x 2 x 131
Prime factors of 754 are 2 x 13 x 29
Prime factors of 838 are 2 x 419
The highest common occurrence is 21
Therefore, GCD of 136, 524, 754, 838 is 2.
Given numbers are 136, 524, 754, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 524) = 17816
GCD(136, 524) = ( 136 x 524 ) / 17816
= 136 / 524
= 136
Step2:
LCM(4, 754) = 1508
GCD(4, 754) = ( 4 x 754 ) / 1508
= 4 / 754
= 4
Step3:
LCM(2, 838) = 838
GCD(2, 838) = ( 2 x 838 ) / 838
= 2 / 838
= 2
So, Greatest Common Divisor of 136, 524, 754, 838 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 524, 754, 838
The greatest common divisor of numbers 136, 524, 754, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 524, 754, 838 is 2.
1. What is the GCD of 136, 524, 754, 838?
GCD of given numbers 136, 524, 754, 838 is 2
2. How to calculate the greatest common divisor of 136, 524, 754, 838?
We can find the highest common divisor of 136, 524, 754, 838 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, 524, 754, 838 i.e 2.
3. How can I use the GCD of 136, 524, 754, 838Calculator?
Out the numbers 136, 524, 754, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.