Online GCD Calculator is useful to find the GCD of 476, 638, 272, 902 quickly. Get the easiest ways to solve the greatest common divisor of 476, 638, 272, 902 i.e 2 in different methods as follows.
Given Input numbers are 476, 638, 272, 902
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 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
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 (476, 638, 272, 902) = 2.
Given numbers are 476, 638, 272, 902
The list of prime factors of all numbers are
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 638 are 2 x 11 x 29
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 902 are 2 x 11 x 41
The highest common occurrence is 21
Therefore, GCD of 476, 638, 272, 902 is 2.
Given numbers are 476, 638, 272, 902
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(476, 638) = 151844
GCD(476, 638) = ( 476 x 638 ) / 151844
= 476 / 638
= 476
Step2:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
Step3:
LCM(2, 902) = 902
GCD(2, 902) = ( 2 x 902 ) / 902
= 2 / 902
= 2
So, Greatest Common Divisor of 476, 638, 272, 902 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 476, 638, 272, 902
The greatest common divisor of numbers 476, 638, 272, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 638, 272, 902 is 2.
1. What is the GCD of 476, 638, 272, 902?
GCD of given numbers 476, 638, 272, 902 is 2
2. How to calculate the greatest common divisor of 476, 638, 272, 902?
We can find the highest common divisor of 476, 638, 272, 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 476, 638, 272, 902 i.e 2.
3. How can I use the GCD of 476, 638, 272, 902Calculator?
Out the numbers 476, 638, 272, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.