Online GCD Calculator is useful to find the GCD of 476, 357, 272 quickly. Get the easiest ways to solve the greatest common divisor of 476, 357, 272 i.e 17 in different methods as follows.
Given Input numbers are 476, 357, 272
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (476, 357, 272) = 17.
Given numbers are 476, 357, 272
The list of prime factors of all numbers are
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 357 are 3 x 7 x 17
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 171
Therefore, GCD of 476, 357, 272 is 17.
Given numbers are 476, 357, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(476, 357) = 1428
GCD(476, 357) = ( 476 x 357 ) / 1428
= 476 / 357
= 476
Step2:
LCM(119, 272) = 1904
GCD(119, 272) = ( 119 x 272 ) / 1904
= 119 / 272
= 119
So, Greatest Common Divisor of 476, 357, 272 is 17
Here are some samples of GCD of Numbers calculations.
Given numbers are 476, 357, 272
The greatest common divisor of numbers 476, 357, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 357, 272 is 17.
1. What is the GCD of 476, 357, 272?
GCD of given numbers 476, 357, 272 is 17
2. How to calculate the greatest common divisor of 476, 357, 272?
We can find the highest common divisor of 476, 357, 272 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, 357, 272 i.e 17.
3. How can I use the GCD of 476, 357, 272Calculator?
Out the numbers 476, 357, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.