Online GCD Calculator is useful to find the GCD of 490, 220, 252, 297 quickly. Get the easiest ways to solve the greatest common divisor of 490, 220, 252, 297 i.e 1 in different methods as follows.
Given Input numbers are 490, 220, 252, 297
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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 (490, 220, 252, 297) = 1.
Given numbers are 490, 220, 252, 297
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
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 490, 220, 252, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 220) = 10780
GCD(490, 220) = ( 490 x 220 ) / 10780
= 490 / 220
= 490
Step2:
LCM(10, 252) = 1260
GCD(10, 252) = ( 10 x 252 ) / 1260
= 10 / 252
= 10
Step3:
LCM(2, 297) = 594
GCD(2, 297) = ( 2 x 297 ) / 594
= 2 / 297
= 2
So, Greatest Common Divisor of 490, 220, 252, 297 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 220, 252, 297
The greatest common divisor of numbers 490, 220, 252, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 220, 252, 297 is 1.
1. What is the GCD of 490, 220, 252, 297?
GCD of given numbers 490, 220, 252, 297 is 1
2. How to calculate the greatest common divisor of 490, 220, 252, 297?
We can find the highest common divisor of 490, 220, 252, 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 490, 220, 252, 297 i.e 1.
3. How can I use the GCD of 490, 220, 252, 297Calculator?
Out the numbers 490, 220, 252, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.