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 771, 755, 99, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 755, 99, 202 is 1
GCD(771, 755, 99, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 755, 99, 202 is 1
GCD(771, 755, 99, 202) = 1
Given Input numbers are 771, 755, 99, 202
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 771, 755, 99, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 755, 99, 202 is 1.
Therefore, GCD of numbers 771, 755, 99, 202 is 1
Given Input Data is 771, 755, 99, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 755 is 5 x 151
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 202 is 2 x 101
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(771, 755) = 582105
GCD(771, 755) = ( 771 x 755 ) / 582105
GCD(771, 755) = 582105 / 582105
GCD(771, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
GCD of 771, 755, 99, 202 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 755, 99, 202?
GCD of 771, 755, 99, 202 is 1
2. Where do I get the detailed procedure to find GCD of 771, 755, 99, 202?
You can find a detailed procedure to find GCD of 771, 755, 99, 202 on our page.
3. How to find GCD of 771, 755, 99, 202 on a calculator?
You can find the GCD of 771, 755, 99, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.