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 69, 277, 773, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 277, 773, 945 is 1
GCD(69, 277, 773, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 277, 773, 945 is 1
GCD(69, 277, 773, 945) = 1
Given Input numbers are 69, 277, 773, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 69, 277, 773, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 277, 773, 945 is 1.
Therefore, GCD of numbers 69, 277, 773, 945 is 1
Given Input Data is 69, 277, 773, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 277 is 277
Prime Factorization of 773 is 773
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
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(69, 277) = 19113
GCD(69, 277) = ( 69 x 277 ) / 19113
GCD(69, 277) = 19113 / 19113
GCD(69, 277) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 773) = 773
GCD(1, 773) = ( 1 x 773 ) / 773
GCD(1, 773) = 773 / 773
GCD(1, 773) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
GCD of 69, 277, 773, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 277, 773, 945?
GCD of 69, 277, 773, 945 is 1
2. Where do I get the detailed procedure to find GCD of 69, 277, 773, 945?
You can find a detailed procedure to find GCD of 69, 277, 773, 945 on our page.
3. How to find GCD of 69, 277, 773, 945 on a calculator?
You can find the GCD of 69, 277, 773, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.