Online GCD Calculator is useful to find the GCD of 490, 168, 275, 414 quickly. Get the easiest ways to solve the greatest common divisor of 490, 168, 275, 414 i.e 1 in different methods as follows.
Given Input numbers are 490, 168, 275, 414
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (490, 168, 275, 414) = 1.
Given numbers are 490, 168, 275, 414
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 275 are 5 x 5 x 11
Prime factors of 414 are 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 168, 275, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 168) = 5880
GCD(490, 168) = ( 490 x 168 ) / 5880
= 490 / 168
= 490
Step2:
LCM(14, 275) = 3850
GCD(14, 275) = ( 14 x 275 ) / 3850
= 14 / 275
= 14
Step3:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
So, Greatest Common Divisor of 490, 168, 275, 414 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 168, 275, 414
The greatest common divisor of numbers 490, 168, 275, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 168, 275, 414 is 1.
1. What is the GCD of 490, 168, 275, 414?
GCD of given numbers 490, 168, 275, 414 is 1
2. How to calculate the greatest common divisor of 490, 168, 275, 414?
We can find the highest common divisor of 490, 168, 275, 414 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, 168, 275, 414 i.e 1.
3. How can I use the GCD of 490, 168, 275, 414Calculator?
Out the numbers 490, 168, 275, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.