Online GCD Calculator is useful to find the GCD of 971, 994, 765, 380 quickly. Get the easiest ways to solve the greatest common divisor of 971, 994, 765, 380 i.e 1 in different methods as follows.
Given Input numbers are 971, 994, 765, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (971, 994, 765, 380) = 1.
Given numbers are 971, 994, 765, 380
The list of prime factors of all numbers are
Prime factors of 971 are 971
Prime factors of 994 are 2 x 7 x 71
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 380 are 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 971, 994, 765, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(971, 994) = 965174
GCD(971, 994) = ( 971 x 994 ) / 965174
= 971 / 994
= 971
Step2:
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
= 1 / 765
= 1
Step3:
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
= 1 / 380
= 1
So, Greatest Common Divisor of 971, 994, 765, 380 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 971, 994, 765, 380
The greatest common divisor of numbers 971, 994, 765, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 994, 765, 380 is 1.
1. What is the GCD of 971, 994, 765, 380?
GCD of given numbers 971, 994, 765, 380 is 1
2. How to calculate the greatest common divisor of 971, 994, 765, 380?
We can find the highest common divisor of 971, 994, 765, 380 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 971, 994, 765, 380 i.e 1.
3. How can I use the GCD of 971, 994, 765, 380Calculator?
Out the numbers 971, 994, 765, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.