Online GCD Calculator is useful to find the GCD of 196, 732, 242, 290 quickly. Get the easiest ways to solve the greatest common divisor of 196, 732, 242, 290 i.e 2 in different methods as follows.
Given Input numbers are 196, 732, 242, 290
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
GCD of numbers is the greatest common divisor
So, the GCD (196, 732, 242, 290) = 2.
Given numbers are 196, 732, 242, 290
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 242 are 2 x 11 x 11
Prime factors of 290 are 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 196, 732, 242, 290 is 2.
Given numbers are 196, 732, 242, 290
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 732) = 35868
GCD(196, 732) = ( 196 x 732 ) / 35868
= 196 / 732
= 196
Step2:
LCM(4, 242) = 484
GCD(4, 242) = ( 4 x 242 ) / 484
= 4 / 242
= 4
Step3:
LCM(2, 290) = 290
GCD(2, 290) = ( 2 x 290 ) / 290
= 2 / 290
= 2
So, Greatest Common Divisor of 196, 732, 242, 290 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 732, 242, 290
The greatest common divisor of numbers 196, 732, 242, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 732, 242, 290 is 2.
1. What is the GCD of 196, 732, 242, 290?
GCD of given numbers 196, 732, 242, 290 is 2
2. How to calculate the greatest common divisor of 196, 732, 242, 290?
We can find the highest common divisor of 196, 732, 242, 290 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 196, 732, 242, 290 i.e 2.
3. How can I use the GCD of 196, 732, 242, 290Calculator?
Out the numbers 196, 732, 242, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.