Online GCD Calculator is useful to find the GCD of 476, 420, 204, 297 quickly. Get the easiest ways to solve the greatest common divisor of 476, 420, 204, 297 i.e 1 in different methods as follows.
Given Input numbers are 476, 420, 204, 297
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (476, 420, 204, 297) = 1.
Given numbers are 476, 420, 204, 297
The list of prime factors of all numbers are
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 297 are 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 476, 420, 204, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(476, 420) = 7140
GCD(476, 420) = ( 476 x 420 ) / 7140
= 476 / 420
= 476
Step2:
LCM(28, 204) = 1428
GCD(28, 204) = ( 28 x 204 ) / 1428
= 28 / 204
= 28
Step3:
LCM(4, 297) = 1188
GCD(4, 297) = ( 4 x 297 ) / 1188
= 4 / 297
= 4
So, Greatest Common Divisor of 476, 420, 204, 297 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 476, 420, 204, 297
The greatest common divisor of numbers 476, 420, 204, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 420, 204, 297 is 1.
1. What is the GCD of 476, 420, 204, 297?
GCD of given numbers 476, 420, 204, 297 is 1
2. How to calculate the greatest common divisor of 476, 420, 204, 297?
We can find the highest common divisor of 476, 420, 204, 297 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, 420, 204, 297 i.e 1.
3. How can I use the GCD of 476, 420, 204, 297Calculator?
Out the numbers 476, 420, 204, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.