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 969, 263, 45, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 263, 45, 747 is 1
GCD(969, 263, 45, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 263, 45, 747 is 1
GCD(969, 263, 45, 747) = 1
Given Input numbers are 969, 263, 45, 747
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 969, 263, 45, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 263, 45, 747 is 1.
Therefore, GCD of numbers 969, 263, 45, 747 is 1
Given Input Data is 969, 263, 45, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 263 is 263
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 747 is 3 x 3 x 83
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(969, 263) = 254847
GCD(969, 263) = ( 969 x 263 ) / 254847
GCD(969, 263) = 254847 / 254847
GCD(969, 263) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
GCD of 969, 263, 45, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 263, 45, 747?
GCD of 969, 263, 45, 747 is 1
2. Where do I get the detailed procedure to find GCD of 969, 263, 45, 747?
You can find a detailed procedure to find GCD of 969, 263, 45, 747 on our page.
3. How to find GCD of 969, 263, 45, 747 on a calculator?
You can find the GCD of 969, 263, 45, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.