Online GCD Calculator is useful to find the GCD of 490, 912, 689, 989 quickly. Get the easiest ways to solve the greatest common divisor of 490, 912, 689, 989 i.e 1 in different methods as follows.
Given Input numbers are 490, 912, 689, 989
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 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
GCD of numbers is the greatest common divisor
So, the GCD (490, 912, 689, 989) = 1.
Given numbers are 490, 912, 689, 989
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 689 are 13 x 53
Prime factors of 989 are 23 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 912, 689, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 912) = 223440
GCD(490, 912) = ( 490 x 912 ) / 223440
= 490 / 912
= 490
Step2:
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
= 2 / 689
= 2
Step3:
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
= 1 / 989
= 1
So, Greatest Common Divisor of 490, 912, 689, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 912, 689, 989
The greatest common divisor of numbers 490, 912, 689, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 912, 689, 989 is 1.
1. What is the GCD of 490, 912, 689, 989?
GCD of given numbers 490, 912, 689, 989 is 1
2. How to calculate the greatest common divisor of 490, 912, 689, 989?
We can find the highest common divisor of 490, 912, 689, 989 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, 912, 689, 989 i.e 1.
3. How can I use the GCD of 490, 912, 689, 989Calculator?
Out the numbers 490, 912, 689, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.