Online GCD Calculator is useful to find the GCD of 242, 960, 766, 989 quickly. Get the easiest ways to solve the greatest common divisor of 242, 960, 766, 989 i.e 1 in different methods as follows.
Given Input numbers are 242, 960, 766, 989
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
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 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
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 (242, 960, 766, 989) = 1.
Given numbers are 242, 960, 766, 989
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 766 are 2 x 383
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 242, 960, 766, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 960) = 116160
GCD(242, 960) = ( 242 x 960 ) / 116160
= 242 / 960
= 242
Step2:
LCM(2, 766) = 766
GCD(2, 766) = ( 2 x 766 ) / 766
= 2 / 766
= 2
Step3:
LCM(2, 989) = 1978
GCD(2, 989) = ( 2 x 989 ) / 1978
= 2 / 989
= 2
So, Greatest Common Divisor of 242, 960, 766, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 960, 766, 989
The greatest common divisor of numbers 242, 960, 766, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 960, 766, 989 is 1.
1. What is the GCD of 242, 960, 766, 989?
GCD of given numbers 242, 960, 766, 989 is 1
2. How to calculate the greatest common divisor of 242, 960, 766, 989?
We can find the highest common divisor of 242, 960, 766, 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 242, 960, 766, 989 i.e 1.
3. How can I use the GCD of 242, 960, 766, 989Calculator?
Out the numbers 242, 960, 766, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.