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 126, 657, 62, 743 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 657, 62, 743 is 1
GCD(126, 657, 62, 743) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 657, 62, 743 is 1
GCD(126, 657, 62, 743) = 1
Given Input numbers are 126, 657, 62, 743
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Greatest Common Divisior
We found the divisors of 126, 657, 62, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 657, 62, 743 is 1.
Therefore, GCD of numbers 126, 657, 62, 743 is 1
Given Input Data is 126, 657, 62, 743
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 62 is 2 x 31
Prime Factorization of 743 is 743
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(126, 657) = 9198
GCD(126, 657) = ( 126 x 657 ) / 9198
GCD(126, 657) = 82782 / 9198
GCD(126, 657) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 62) = 558
GCD(9, 62) = ( 9 x 62 ) / 558
GCD(9, 62) = 558 / 558
GCD(9, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
GCD of 126, 657, 62, 743 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 657, 62, 743?
GCD of 126, 657, 62, 743 is 1
2. Where do I get the detailed procedure to find GCD of 126, 657, 62, 743?
You can find a detailed procedure to find GCD of 126, 657, 62, 743 on our page.
3. How to find GCD of 126, 657, 62, 743 on a calculator?
You can find the GCD of 126, 657, 62, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.