Online GCD Calculator is useful to find the GCD of 490, 242, 321, 294 quickly. Get the easiest ways to solve the greatest common divisor of 490, 242, 321, 294 i.e 1 in different methods as follows.
Given Input numbers are 490, 242, 321, 294
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 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
GCD of numbers is the greatest common divisor
So, the GCD (490, 242, 321, 294) = 1.
Given numbers are 490, 242, 321, 294
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 242 are 2 x 11 x 11
Prime factors of 321 are 3 x 107
Prime factors of 294 are 2 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 242, 321, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 242) = 59290
GCD(490, 242) = ( 490 x 242 ) / 59290
= 490 / 242
= 490
Step2:
LCM(2, 321) = 642
GCD(2, 321) = ( 2 x 321 ) / 642
= 2 / 321
= 2
Step3:
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
= 1 / 294
= 1
So, Greatest Common Divisor of 490, 242, 321, 294 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 242, 321, 294
The greatest common divisor of numbers 490, 242, 321, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 242, 321, 294 is 1.
1. What is the GCD of 490, 242, 321, 294?
GCD of given numbers 490, 242, 321, 294 is 1
2. How to calculate the greatest common divisor of 490, 242, 321, 294?
We can find the highest common divisor of 490, 242, 321, 294 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, 242, 321, 294 i.e 1.
3. How can I use the GCD of 490, 242, 321, 294Calculator?
Out the numbers 490, 242, 321, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.