Online GCD Calculator is useful to find the GCD of 490, 644, 475, 221 quickly. Get the easiest ways to solve the greatest common divisor of 490, 644, 475, 221 i.e 1 in different methods as follows.
Given Input numbers are 490, 644, 475, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (490, 644, 475, 221) = 1.
Given numbers are 490, 644, 475, 221
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 475 are 5 x 5 x 19
Prime factors of 221 are 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 644, 475, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 644) = 22540
GCD(490, 644) = ( 490 x 644 ) / 22540
= 490 / 644
= 490
Step2:
LCM(14, 475) = 6650
GCD(14, 475) = ( 14 x 475 ) / 6650
= 14 / 475
= 14
Step3:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
So, Greatest Common Divisor of 490, 644, 475, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 644, 475, 221
The greatest common divisor of numbers 490, 644, 475, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 644, 475, 221 is 1.
1. What is the GCD of 490, 644, 475, 221?
GCD of given numbers 490, 644, 475, 221 is 1
2. How to calculate the greatest common divisor of 490, 644, 475, 221?
We can find the highest common divisor of 490, 644, 475, 221 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 490, 644, 475, 221 i.e 1.
3. How can I use the GCD of 490, 644, 475, 221Calculator?
Out the numbers 490, 644, 475, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.