Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 95, 320, 803, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 95, 320, 803, 770 is 1
GCD(95, 320, 803, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 95, 320, 803, 770 is 1
GCD(95, 320, 803, 770) = 1
Given Input numbers are 95, 320, 803, 770
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 95, 320, 803, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 320, 803, 770 is 1.
Therefore, GCD of numbers 95, 320, 803, 770 is 1
Given Input Data is 95, 320, 803, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 95 is 5 x 19
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 803 is 11 x 73
Prime Factorization of 770 is 2 x 5 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(95, 320) = 6080
GCD(95, 320) = ( 95 x 320 ) / 6080
GCD(95, 320) = 30400 / 6080
GCD(95, 320) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 803) = 4015
GCD(5, 803) = ( 5 x 803 ) / 4015
GCD(5, 803) = 4015 / 4015
GCD(5, 803) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 95, 320, 803, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 95, 320, 803, 770?
GCD of 95, 320, 803, 770 is 1
2. Where do I get the detailed procedure to find GCD of 95, 320, 803, 770?
You can find a detailed procedure to find GCD of 95, 320, 803, 770 on our page.
3. How to find GCD of 95, 320, 803, 770 on a calculator?
You can find the GCD of 95, 320, 803, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.