Online GCD Calculator is useful to find the GCD of 376, 634, 442, 378 quickly. Get the easiest ways to solve the greatest common divisor of 376, 634, 442, 378 i.e 2 in different methods as follows.
Given Input numbers are 376, 634, 442, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
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
GCD of numbers is the greatest common divisor
So, the GCD (376, 634, 442, 378) = 2.
Given numbers are 376, 634, 442, 378
The list of prime factors of all numbers are
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 634 are 2 x 317
Prime factors of 442 are 2 x 13 x 17
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 376, 634, 442, 378 is 2.
Given numbers are 376, 634, 442, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(376, 634) = 119192
GCD(376, 634) = ( 376 x 634 ) / 119192
= 376 / 634
= 376
Step2:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 376, 634, 442, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 376, 634, 442, 378
The greatest common divisor of numbers 376, 634, 442, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 634, 442, 378 is 2.
1. What is the GCD of 376, 634, 442, 378?
GCD of given numbers 376, 634, 442, 378 is 2
2. How to calculate the greatest common divisor of 376, 634, 442, 378?
We can find the highest common divisor of 376, 634, 442, 378 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 376, 634, 442, 378 i.e 2.
3. How can I use the GCD of 376, 634, 442, 378Calculator?
Out the numbers 376, 634, 442, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.