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 770, 536, 83, 996 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 536, 83, 996 is 1
GCD(770, 536, 83, 996) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 536, 83, 996 is 1
GCD(770, 536, 83, 996) = 1
Given Input numbers are 770, 536, 83, 996
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 770, 536, 83, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 536, 83, 996 is 1.
Therefore, GCD of numbers 770, 536, 83, 996 is 1
Given Input Data is 770, 536, 83, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 83 is 83
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(770, 536) = 206360
GCD(770, 536) = ( 770 x 536 ) / 206360
GCD(770, 536) = 412720 / 206360
GCD(770, 536) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
GCD of 770, 536, 83, 996 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 536, 83, 996?
GCD of 770, 536, 83, 996 is 1
2. Where do I get the detailed procedure to find GCD of 770, 536, 83, 996?
You can find a detailed procedure to find GCD of 770, 536, 83, 996 on our page.
3. How to find GCD of 770, 536, 83, 996 on a calculator?
You can find the GCD of 770, 536, 83, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.