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 57, 743, 142, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 743, 142, 767 is 1
GCD(57, 743, 142, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 743, 142, 767 is 1
GCD(57, 743, 142, 767) = 1
Given Input numbers are 57, 743, 142, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 57, 743, 142, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 743, 142, 767 is 1.
Therefore, GCD of numbers 57, 743, 142, 767 is 1
Given Input Data is 57, 743, 142, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 743 is 743
Prime Factorization of 142 is 2 x 71
Prime Factorization of 767 is 13 x 59
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(57, 743) = 42351
GCD(57, 743) = ( 57 x 743 ) / 42351
GCD(57, 743) = 42351 / 42351
GCD(57, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 57, 743, 142, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 743, 142, 767?
GCD of 57, 743, 142, 767 is 1
2. Where do I get the detailed procedure to find GCD of 57, 743, 142, 767?
You can find a detailed procedure to find GCD of 57, 743, 142, 767 on our page.
3. How to find GCD of 57, 743, 142, 767 on a calculator?
You can find the GCD of 57, 743, 142, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.