Online GCD Calculator is useful to find the GCD of 202, 378, 344, 130 quickly. Get the easiest ways to solve the greatest common divisor of 202, 378, 344, 130 i.e 2 in different methods as follows.
Given Input numbers are 202, 378, 344, 130
In the factoring method, we have to find the divisors of all numbers
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
GCD of numbers is the greatest common divisor
So, the GCD (202, 378, 344, 130) = 2.
Given numbers are 202, 378, 344, 130
The list of prime factors of all numbers are
Prime factors of 202 are 2 x 101
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 130 are 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 202, 378, 344, 130 is 2.
Given numbers are 202, 378, 344, 130
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(202, 378) = 38178
GCD(202, 378) = ( 202 x 378 ) / 38178
= 202 / 378
= 202
Step2:
LCM(2, 344) = 344
GCD(2, 344) = ( 2 x 344 ) / 344
= 2 / 344
= 2
Step3:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
So, Greatest Common Divisor of 202, 378, 344, 130 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 202, 378, 344, 130
The greatest common divisor of numbers 202, 378, 344, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 378, 344, 130 is 2.
1. What is the GCD of 202, 378, 344, 130?
GCD of given numbers 202, 378, 344, 130 is 2
2. How to calculate the greatest common divisor of 202, 378, 344, 130?
We can find the highest common divisor of 202, 378, 344, 130 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 202, 378, 344, 130 i.e 2.
3. How can I use the GCD of 202, 378, 344, 130Calculator?
Out the numbers 202, 378, 344, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.