Online GCD Calculator is useful to find the GCD of 146, 364, 378, 202 quickly. Get the easiest ways to solve the greatest common divisor of 146, 364, 378, 202 i.e 2 in different methods as follows.
Given Input numbers are 146, 364, 378, 202
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
GCD of numbers is the greatest common divisor
So, the GCD (146, 364, 378, 202) = 2.
Given numbers are 146, 364, 378, 202
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 202 are 2 x 101
The highest common occurrence is 21
Therefore, GCD of 146, 364, 378, 202 is 2.
Given numbers are 146, 364, 378, 202
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 364) = 26572
GCD(146, 364) = ( 146 x 364 ) / 26572
= 146 / 364
= 146
Step2:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
Step3:
LCM(2, 202) = 202
GCD(2, 202) = ( 2 x 202 ) / 202
= 2 / 202
= 2
So, Greatest Common Divisor of 146, 364, 378, 202 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 364, 378, 202
The greatest common divisor of numbers 146, 364, 378, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 364, 378, 202 is 2.
1. What is the GCD of 146, 364, 378, 202?
GCD of given numbers 146, 364, 378, 202 is 2
2. How to calculate the greatest common divisor of 146, 364, 378, 202?
We can find the highest common divisor of 146, 364, 378, 202 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 146, 364, 378, 202 i.e 2.
3. How can I use the GCD of 146, 364, 378, 202Calculator?
Out the numbers 146, 364, 378, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.