Online GCD Calculator is useful to find the GCD of 376, 284, 664, 902 quickly. Get the easiest ways to solve the greatest common divisor of 376, 284, 664, 902 i.e 2 in different methods as follows.
Given Input numbers are 376, 284, 664, 902
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 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
GCD of numbers is the greatest common divisor
So, the GCD (376, 284, 664, 902) = 2.
Given numbers are 376, 284, 664, 902
The list of prime factors of all numbers are
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 284 are 2 x 2 x 71
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 902 are 2 x 11 x 41
The highest common occurrence is 21
Therefore, GCD of 376, 284, 664, 902 is 2.
Given numbers are 376, 284, 664, 902
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(376, 284) = 26696
GCD(376, 284) = ( 376 x 284 ) / 26696
= 376 / 284
= 376
Step2:
LCM(4, 664) = 664
GCD(4, 664) = ( 4 x 664 ) / 664
= 4 / 664
= 4
Step3:
LCM(4, 902) = 1804
GCD(4, 902) = ( 4 x 902 ) / 1804
= 4 / 902
= 4
So, Greatest Common Divisor of 376, 284, 664, 902 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 376, 284, 664, 902
The greatest common divisor of numbers 376, 284, 664, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 284, 664, 902 is 2.
1. What is the GCD of 376, 284, 664, 902?
GCD of given numbers 376, 284, 664, 902 is 2
2. How to calculate the greatest common divisor of 376, 284, 664, 902?
We can find the highest common divisor of 376, 284, 664, 902 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, 284, 664, 902 i.e 2.
3. How can I use the GCD of 376, 284, 664, 902Calculator?
Out the numbers 376, 284, 664, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.