Online GCD Calculator is useful to find the GCD of 993, 969, 820, 150 quickly. Get the easiest ways to solve the greatest common divisor of 993, 969, 820, 150 i.e 1 in different methods as follows.
Given Input numbers are 993, 969, 820, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (993, 969, 820, 150) = 1.
Given numbers are 993, 969, 820, 150
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 969 are 3 x 17 x 19
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 150 are 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 993, 969, 820, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 969) = 320739
GCD(993, 969) = ( 993 x 969 ) / 320739
= 993 / 969
= 993
Step2:
LCM(3, 820) = 2460
GCD(3, 820) = ( 3 x 820 ) / 2460
= 3 / 820
= 3
Step3:
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
= 1 / 150
= 1
So, Greatest Common Divisor of 993, 969, 820, 150 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 993, 969, 820, 150
The greatest common divisor of numbers 993, 969, 820, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 969, 820, 150 is 1.
1. What is the GCD of 993, 969, 820, 150?
GCD of given numbers 993, 969, 820, 150 is 1
2. How to calculate the greatest common divisor of 993, 969, 820, 150?
We can find the highest common divisor of 993, 969, 820, 150 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 993, 969, 820, 150 i.e 1.
3. How can I use the GCD of 993, 969, 820, 150Calculator?
Out the numbers 993, 969, 820, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.