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 782, 128, 61, 743 i.e. 1 largest integer that divides all the numbers equally.
GCD of 782, 128, 61, 743 is 1
GCD(782, 128, 61, 743) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 128, 61, 743 is 1
GCD(782, 128, 61, 743) = 1
Given Input numbers are 782, 128, 61, 743
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
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 782, 128, 61, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 128, 61, 743 is 1.
Therefore, GCD of numbers 782, 128, 61, 743 is 1
Given Input Data is 782, 128, 61, 743
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 61 is 61
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(782, 128) = 50048
GCD(782, 128) = ( 782 x 128 ) / 50048
GCD(782, 128) = 100096 / 50048
GCD(782, 128) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 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 782, 128, 61, 743 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 128, 61, 743?
GCD of 782, 128, 61, 743 is 1
2. Where do I get the detailed procedure to find GCD of 782, 128, 61, 743?
You can find a detailed procedure to find GCD of 782, 128, 61, 743 on our page.
3. How to find GCD of 782, 128, 61, 743 on a calculator?
You can find the GCD of 782, 128, 61, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.