Online GCD Calculator is useful to find the GCD of 476, 200, 376, 954 quickly. Get the easiest ways to solve the greatest common divisor of 476, 200, 376, 954 i.e 2 in different methods as follows.
Given Input numbers are 476, 200, 376, 954
In the factoring method, we have to find the divisors of all numbers
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
GCD of numbers is the greatest common divisor
So, the GCD (476, 200, 376, 954) = 2.
Given numbers are 476, 200, 376, 954
The list of prime factors of all numbers are
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 954 are 2 x 3 x 3 x 53
The highest common occurrence is 21
Therefore, GCD of 476, 200, 376, 954 is 2.
Given numbers are 476, 200, 376, 954
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(476, 200) = 23800
GCD(476, 200) = ( 476 x 200 ) / 23800
= 476 / 200
= 476
Step2:
LCM(4, 376) = 376
GCD(4, 376) = ( 4 x 376 ) / 376
= 4 / 376
= 4
Step3:
LCM(4, 954) = 1908
GCD(4, 954) = ( 4 x 954 ) / 1908
= 4 / 954
= 4
So, Greatest Common Divisor of 476, 200, 376, 954 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 476, 200, 376, 954
The greatest common divisor of numbers 476, 200, 376, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 200, 376, 954 is 2.
1. What is the GCD of 476, 200, 376, 954?
GCD of given numbers 476, 200, 376, 954 is 2
2. How to calculate the greatest common divisor of 476, 200, 376, 954?
We can find the highest common divisor of 476, 200, 376, 954 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 476, 200, 376, 954 i.e 2.
3. How can I use the GCD of 476, 200, 376, 954Calculator?
Out the numbers 476, 200, 376, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.