Online GCD Calculator is useful to find the GCD of 966, 742, 509, 980 quickly. Get the easiest ways to solve the greatest common divisor of 966, 742, 509, 980 i.e 1 in different methods as follows.
Given Input numbers are 966, 742, 509, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
GCD of numbers is the greatest common divisor
So, the GCD (966, 742, 509, 980) = 1.
Given numbers are 966, 742, 509, 980
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 742 are 2 x 7 x 53
Prime factors of 509 are 509
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 966, 742, 509, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 742) = 51198
GCD(966, 742) = ( 966 x 742 ) / 51198
= 966 / 742
= 966
Step2:
LCM(14, 509) = 7126
GCD(14, 509) = ( 14 x 509 ) / 7126
= 14 / 509
= 14
Step3:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 966, 742, 509, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 742, 509, 980
The greatest common divisor of numbers 966, 742, 509, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 742, 509, 980 is 1.
1. What is the GCD of 966, 742, 509, 980?
GCD of given numbers 966, 742, 509, 980 is 1
2. How to calculate the greatest common divisor of 966, 742, 509, 980?
We can find the highest common divisor of 966, 742, 509, 980 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 966, 742, 509, 980 i.e 1.
3. How can I use the GCD of 966, 742, 509, 980Calculator?
Out the numbers 966, 742, 509, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.