Online GCD Calculator is useful to find the GCD of 136, 382, 350, 490 quickly. Get the easiest ways to solve the greatest common divisor of 136, 382, 350, 490 i.e 2 in different methods as follows.
Given Input numbers are 136, 382, 350, 490
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 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (136, 382, 350, 490) = 2.
Given numbers are 136, 382, 350, 490
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 382 are 2 x 191
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 136, 382, 350, 490 is 2.
Given numbers are 136, 382, 350, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 382) = 25976
GCD(136, 382) = ( 136 x 382 ) / 25976
= 136 / 382
= 136
Step2:
LCM(2, 350) = 350
GCD(2, 350) = ( 2 x 350 ) / 350
= 2 / 350
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 136, 382, 350, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 382, 350, 490
The greatest common divisor of numbers 136, 382, 350, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 382, 350, 490 is 2.
1. What is the GCD of 136, 382, 350, 490?
GCD of given numbers 136, 382, 350, 490 is 2
2. How to calculate the greatest common divisor of 136, 382, 350, 490?
We can find the highest common divisor of 136, 382, 350, 490 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, 382, 350, 490 i.e 2.
3. How can I use the GCD of 136, 382, 350, 490Calculator?
Out the numbers 136, 382, 350, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.