Online GCD Calculator is useful to find the GCD of 136, 792, 410, 354 quickly. Get the easiest ways to solve the greatest common divisor of 136, 792, 410, 354 i.e 2 in different methods as follows.
Given Input numbers are 136, 792, 410, 354
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 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 410 :
The positive integer divisors of 410 that completely divides 410 are.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (136, 792, 410, 354) = 2.
Given numbers are 136, 792, 410, 354
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 410 are 2 x 5 x 41
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 136, 792, 410, 354 is 2.
Given numbers are 136, 792, 410, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 792) = 13464
GCD(136, 792) = ( 136 x 792 ) / 13464
= 136 / 792
= 136
Step2:
LCM(8, 410) = 1640
GCD(8, 410) = ( 8 x 410 ) / 1640
= 8 / 410
= 8
Step3:
LCM(2, 354) = 354
GCD(2, 354) = ( 2 x 354 ) / 354
= 2 / 354
= 2
So, Greatest Common Divisor of 136, 792, 410, 354 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 792, 410, 354
The greatest common divisor of numbers 136, 792, 410, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 792, 410, 354 is 2.
1. What is the GCD of 136, 792, 410, 354?
GCD of given numbers 136, 792, 410, 354 is 2
2. How to calculate the greatest common divisor of 136, 792, 410, 354?
We can find the highest common divisor of 136, 792, 410, 354 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, 792, 410, 354 i.e 2.
3. How can I use the GCD of 136, 792, 410, 354Calculator?
Out the numbers 136, 792, 410, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.