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 762, 177, 71, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 177, 71, 381 is 1
GCD(762, 177, 71, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 177, 71, 381 is 1
GCD(762, 177, 71, 381) = 1
Given Input numbers are 762, 177, 71, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 762, 177, 71, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 177, 71, 381 is 1.
Therefore, GCD of numbers 762, 177, 71, 381 is 1
Given Input Data is 762, 177, 71, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 177 is 3 x 59
Prime Factorization of 71 is 71
Prime Factorization of 381 is 3 x 127
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(762, 177) = 44958
GCD(762, 177) = ( 762 x 177 ) / 44958
GCD(762, 177) = 134874 / 44958
GCD(762, 177) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 71) = 213
GCD(3, 71) = ( 3 x 71 ) / 213
GCD(3, 71) = 213 / 213
GCD(3, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 762, 177, 71, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 177, 71, 381?
GCD of 762, 177, 71, 381 is 1
2. Where do I get the detailed procedure to find GCD of 762, 177, 71, 381?
You can find a detailed procedure to find GCD of 762, 177, 71, 381 on our page.
3. How to find GCD of 762, 177, 71, 381 on a calculator?
You can find the GCD of 762, 177, 71, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.