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, 741, 677, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 741, 677, 695 is 1
GCD(762, 741, 677, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 741, 677, 695 is 1
GCD(762, 741, 677, 695) = 1
Given Input numbers are 762, 741, 677, 695
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 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 762, 741, 677, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 741, 677, 695 is 1.
Therefore, GCD of numbers 762, 741, 677, 695 is 1
Given Input Data is 762, 741, 677, 695
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 741 is 3 x 13 x 19
Prime Factorization of 677 is 677
Prime Factorization of 695 is 5 x 139
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, 741) = 188214
GCD(762, 741) = ( 762 x 741 ) / 188214
GCD(762, 741) = 564642 / 188214
GCD(762, 741) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 677) = 2031
GCD(3, 677) = ( 3 x 677 ) / 2031
GCD(3, 677) = 2031 / 2031
GCD(3, 677) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 762, 741, 677, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 741, 677, 695?
GCD of 762, 741, 677, 695 is 1
2. Where do I get the detailed procedure to find GCD of 762, 741, 677, 695?
You can find a detailed procedure to find GCD of 762, 741, 677, 695 on our page.
3. How to find GCD of 762, 741, 677, 695 on a calculator?
You can find the GCD of 762, 741, 677, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.