Online GCD Calculator is useful to find the GCD of 380, 770, 320, 890 quickly. Get the easiest ways to solve the greatest common divisor of 380, 770, 320, 890 i.e 10 in different methods as follows.
Given Input numbers are 380, 770, 320, 890
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
GCD of numbers is the greatest common divisor
So, the GCD (380, 770, 320, 890) = 10.
Given numbers are 380, 770, 320, 890
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 890 are 2 x 5 x 89
The highest common occurrence is 21 x 51
Therefore, GCD of 380, 770, 320, 890 is 10.
Given numbers are 380, 770, 320, 890
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 770) = 29260
GCD(380, 770) = ( 380 x 770 ) / 29260
= 380 / 770
= 380
Step2:
LCM(10, 320) = 320
GCD(10, 320) = ( 10 x 320 ) / 320
= 10 / 320
= 10
Step3:
LCM(10, 890) = 890
GCD(10, 890) = ( 10 x 890 ) / 890
= 10 / 890
= 10
So, Greatest Common Divisor of 380, 770, 320, 890 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 770, 320, 890
The greatest common divisor of numbers 380, 770, 320, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 770, 320, 890 is 10.
1. What is the GCD of 380, 770, 320, 890?
GCD of given numbers 380, 770, 320, 890 is 10
2. How to calculate the greatest common divisor of 380, 770, 320, 890?
We can find the highest common divisor of 380, 770, 320, 890 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 380, 770, 320, 890 i.e 10.
3. How can I use the GCD of 380, 770, 320, 890Calculator?
Out the numbers 380, 770, 320, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.