Online GCD Calculator is useful to find the GCD of 490, 689, 960, 272 quickly. Get the easiest ways to solve the greatest common divisor of 490, 689, 960, 272 i.e 1 in different methods as follows.
Given Input numbers are 490, 689, 960, 272
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 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (490, 689, 960, 272) = 1.
Given numbers are 490, 689, 960, 272
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 689 are 13 x 53
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 689, 960, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 689) = 337610
GCD(490, 689) = ( 490 x 689 ) / 337610
= 490 / 689
= 490
Step2:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 490, 689, 960, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 689, 960, 272
The greatest common divisor of numbers 490, 689, 960, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 689, 960, 272 is 1.
1. What is the GCD of 490, 689, 960, 272?
GCD of given numbers 490, 689, 960, 272 is 1
2. How to calculate the greatest common divisor of 490, 689, 960, 272?
We can find the highest common divisor of 490, 689, 960, 272 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, 689, 960, 272 i.e 1.
3. How can I use the GCD of 490, 689, 960, 272Calculator?
Out the numbers 490, 689, 960, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.