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 743, 959, 10, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 959, 10, 283 is 1
GCD(743, 959, 10, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 959, 10, 283 is 1
GCD(743, 959, 10, 283) = 1
Given Input numbers are 743, 959, 10, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 743, 959, 10, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 959, 10, 283 is 1.
Therefore, GCD of numbers 743, 959, 10, 283 is 1
Given Input Data is 743, 959, 10, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 959 is 7 x 137
Prime Factorization of 10 is 2 x 5
Prime Factorization of 283 is 283
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(743, 959) = 712537
GCD(743, 959) = ( 743 x 959 ) / 712537
GCD(743, 959) = 712537 / 712537
GCD(743, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 743, 959, 10, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 959, 10, 283?
GCD of 743, 959, 10, 283 is 1
2. Where do I get the detailed procedure to find GCD of 743, 959, 10, 283?
You can find a detailed procedure to find GCD of 743, 959, 10, 283 on our page.
3. How to find GCD of 743, 959, 10, 283 on a calculator?
You can find the GCD of 743, 959, 10, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.